At a small savings and loan company, you have to deal with your customers being victims of identity theft. This happens unpredictably to one of your customers once every 9 weeks; and no incident seems to have any connection to any other incident. a) What is the probability that you will have to deal with no more than 4 incidents of identity theft in the next year (52 weeks)

Answers

Answer 1

Answer:

At a small savings and loan company, you have to deal with your customers being victims of identity theft. This happens unpredictably to one of your customers once every 9 weeks; and no incident seems to have any connection to any other incident.

Step-by-step explanation:

Answer 2

The probability that you will have to deal with no more than 4 incidents of identity theft in the next year is 30.08 %

What is a Binomial Distribution?

The binomial distribution is a type of probability distribution that predicts the likelihood of obtaining one of two outcomes given a set of inputs. It summarizes the number of tries where each trial has the equal chance of producing the same result.

The formula for Binomial Distribution is given by

P ( x ) = [ n! / ( n - x )! x! ] pˣqⁿ⁻ˣ  

where

n = number of trials

x = number of successes

p = probability of getting a success in one trial

q = probability of getting a failure in one trial

q = 1 - p

Given data ,

Let the probability that you will have to deal with no more than 4 incidents be P ( x ≤ 4 )

Now , the success is one of your customers once every 9 weeks

So , p = 1/9

q = 1 - p = 8/9

x = 4

Number of trials n = 52 weeks

And , the probability that you will have to deal with no more than 4 incidents be P ( x ≤ 4 ) is

P ( x ≤ 4 ) = [ n! / ( n - x )! x! ] pˣqⁿ⁻ˣ  

Substituting the values in the equation , we get

P ( x ≤ 4 ) = [ 52! / ( 48 )! 4! ] ( 1/9 )⁴( 8/9 )⁴⁸

On simplifying the equation , we get

P ( x ≤ 4 ) = 0.3008

P ( x ≤ 4 ) = 30.08 %

Therefore , the value of P ( x ≤ 4 ) is 30.08 %

Hence , the probability of no more than 4 incidents is 30.08 %

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Related Questions

Can you construct a triangle with side lengths of 1 meter, 7 meters, and 8 meters?


Yes or no and explain

Answers

Answer:

No.

Step-by-step explanation:

No.

Each side of a triangle must have a length between the difference and the sum of the lengths of the other two sides.

Let's look at the sum and difference of lengths of 2 sides.

Side with length 1 and side with length 7; third side with length 8

sum of lengths of first two sides = 1 + 7 = 8

difference = 7 - 1 = 6

The third side would have to have a length between 6 and 8. The third side has a length of 8. For a triangle, the third side must be between the sum and difference. Here, the third side is equal to the sum, so there is no triangle.

As soon as one side does not work, there is no triangle, and you don't need to check the sums and differences of the other two sets of two sides.

A 10 ft board is to be cut into three pieces, two equal- length ones and the third 9 in shorter than each of the other two. If the cutting does not result in any length being lost, how long are the pieces?

Answers

Answer:

Let  x  represent one of the equal length sides making the third side which is  3  inches shorter than each of the other two equal to:

Third piece  =  x − 3 . Knowing that the whole board is  10  feet, in inches it is:

10  feet  ×  12  inches / 1  foot  =  120  inches

To find the length of the pieces, add them and equate it to the legth of the board in inches as shown below:

x  +  x  +  x  −  3  =  120  + 3

3 x /3  =  123 /3

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Step-by-step explanation:

you have the following coins in your pocket five quarters six dimes two nickels and 12 pennies what is the probability as a decimal you would draw a dime.

Answers

Answer: The probability of you drawing a dime is 0.24

Step-by-step explanation:

5 quarters, 6 dimes, 2 nickels, 12 pennies

5+6+2+12= 25

6/25= 0.24 or 24%

Answer:

0.24

Step-by-step explanation:

P(dime) = 6/25 which is 0.24

Plz help me well mark brainliest if you are correct!!.....

Answers

Step-by-step explanation:

the base is 5unit and the height is 9unit

Answer:

The base is 5 units the height is 9 units

Step-by-step explanation:

Just count the blocks in the diagram

base  = 5

Height = 9

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Answers

Answer:

Owner-operators may take in over $260,000 in gross revenue, but once you deduct expenses, maintenance and all of the costs that go along with running a truck, many don’t earn much more than experienced company drivers. It costs about $180,000 per year to run a commercial truck. Operating costs in the trucking industry are about $1.38 per mile.

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Step-by-step explanation:

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Problems
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3-4
5-6
7-8
9 or more 8
4
2
0
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Answers

Could you please provide a picture of the table? This is very confusing.

Which describes how the figure below was transformed? ​

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Answer: Rotation

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Answer:

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Step-by-step explanation:

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Round to the nearest tenth.

Answers

Answer:

40

Step-by-step explanation:

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Answer:

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Answer:

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Answer:

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Answer:

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Answers

Answer:

use this info to help answer it

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PLEASE ANSWER ASAP FOR BRAINESLT!!!!!!!!
Mrs. Lee randomly surveyed 25 of her 125 students about their pets. Her survey indicate that 14 students have a dog, 7 students have a cat, 2 students have another kind of pet, and 8 students have no pet. (Note that some students have more than one pet). What is Mrs. Lee's best estimate of the total number of her students who have a dog?


A. 70

B. 35

C. 10

D. 40

Answers

Answer: Hello! When I tried solving the problem and I got the answer of 70.

Step-by-step explanation:

So, 14 out of the 25 kids have a dog. If you were to have 125 kids which if 5 times the first 25 kids it would be 14 x 5 which is 70.

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Answers

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Answers

Answer:

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Step-by-step explanation:

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Answer:

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Answers

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Answers

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Step-by-step explanation:

Answer:

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Step-by-step explanation:

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YOU POST THIS TWICE

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Step-by-step explanation:

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Answers

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------------------

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Answers

Answer:

[tex]\huge\colorbox{violet}{✏﹏ \: ᴀɴsᴡᴇʀ \: }[/tex]

4242

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4242

2 = 2 ( one's place )

Difference = ?

[tex] = 200 - 2 \\ = 198[/tex]

Sum = ?

[tex] = 200 + 2 \\ = 2[/tex]

ʰᵒᵖᵉ ⁱᵗ ʰᵉˡᵖˢ

[tex] \huge\blue{ \mid{ \underline{ \overline{ \tt ꧁❣ ʀᴀɪɴʙᴏᴡˢᵃˡᵗ2²2² ࿐ }} \mid}}[/tex]

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