(a) The number of customers arriving to a restaurant is a Poisson random variable with a mean of 3 customers per hour. Find the probability that: i. 6 customers will arrive in an hour. i. less than 2 customers will arrive in 30 minutes. iiI. at least 3 customers will arrive in 30 minutes. (b) The average weight of 600 students who were taking IQ test was 38.20 kg with a standard deviation of 15.32 kg. Let be the average weight for a random sample of certain students selected from this school. Find the mean and standard deviation of x for a sample size of: i. 7. i. 480.
(a) The number of customers arriving to a restaurant is a Poisson random variable with a mean of 3 customers per hour. Find the probability that: i. 6 customers will arrive in an hour. i. less than 2 customers will arrive in 30 minutes. iiI. at least 3 customers will arrive in 30 minutes. (b) The average weight of 600 students who were taking IQ test was 38.20 kg with a standard deviation of 15.32 kg. Let be the average weight for a random sample of certain students selected from this school. Find the mean and standard deviation of x for a sample size of: i. 7. i. 480.
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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Statistics and Probabilities
Transcribed Image Text:(a)
The number of customers arriving to a restaurant is a Poisson
random variable with a mean of 3 customers per hour. Find the
probability that:
i.
6 customers will arrive in an hour.
i.
less than 2 customers will arrive in 30 minutes.
ii.
at least 3 customers will arrive in 30 minutes.
(b)
The average weight of 600 students who were taking IQ test was
38.20 kg with a standard deviation of 15.32 kg. Let i be the
average weight for a random sample of certain students selected
from this school. Find the mean and standard deviation of x for a
sample size of:
i.
7.
i.
480.
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