Question

Asked Oct 29, 2019

About 12.5% of restaurant bills are incorrect. If 200 bills are selected at random, find the probability that atleast 22 will contain an error. Is this likely or unlikely to occur?

Use the normal approximation to the binomial to find the probabilities for the specific value(s) of X. a

A. n=30, p=0.5, x=18

B. n=50, p=0.8, x=44

C. n=100, p=0.1, x=12

Step 1

It is given that 12.5% of restaurant bills contain error. So, the proportion of bills contain error (*p*) is 0.125.

Here, the sample size (*n*) is 200.

Let *X* be the random variable that is defined as the number of bills containing error which follows binomial distribution with n=200 and p=0.125.

Using normal approximation to the binomial distribution, *X *follows normal distribution with,

Step 2

The probability that at least 22 will contain an error can be calculated as follows:

Step 3

Now the second part of the question is solved by using the normal approximation ...

Tagged in

Q: A company is hiring a chef, a prep and a waiter. 5 equally qualified applicants applied. John is one...

A: (a)The probability that he will be the Chef is,

Q: Consider an exponential model for car crashing. Let T be the time in days between the beginning of t...

A: Introduction:The cdf of an exponentially distributed random variable, T with the given pdf is F (t) ...

Q: A group consists of four men and eight women. Six people are selected to attend a conference. a. In ...

A: We are givenMen = 4Women = 8Total = 12We have to select randomly 6 people.

Q: A pair of die is rolled and the sum of the numbers is noted. Find the probability that one die resul...

A: Conditional rule:The formula for probability of A given B is,

Q: There are 100 people waiting in line for IDs. Of these, 50 are from Indiana, 45 are freshman, and 2...

A: To count the number of persons satisfying the given conditions

Q: Please, help me with a step by step solutions to question and I will be very grateful to you. I don'...

A: As you have posted 2 different questions, we are answering the first question. In case you require...

Q: for 2 draws find: P(K, diamonds) with replacement P(hearts, hearts) without replacement

A: In standard deck of 52 cards, there are 4 kings (K) and 13 diamonds. The sampling is with replacemen...

Q: I don’t quite understand how to set up the probabilities for the listed in the photo. Help me please...

A: We are given candies,6 cherry3 orange2 lemonSo, total = 11Randomly take 2 pieces.

Q: Larry, Kim , Jim, Ian, and Simone have all been invited to a dinner party. They arrive randomly and ...

A: Factorial of an integer:The factorial of an integer is the product of all positive integers less tha...