a) Suppose 56% of STAT1201 students have brown eyes and we take a random sample of 4 students. Let ? be the number of students with brown eyes in the sample. What is the distribution of ??b) Let ? be the number of towns in which it will rain tomorrow among five neighbouring towns. Is ? a Binomial random variable?c) Suppose 10% of people are left-handed and let ? be the number of left-handed people in sample of 20 individuals. What is the probability of at least one left-handed person in the sample?d) Suppose a drug has a 20% chance of making a person drowsy. Out of a sample of 80 people who each take the drug, what is the probability that no more than 10 of them experience drowsiness?

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Answered: a) Suppose 56% of STAT1201 students…

a) Suppose 56% of STAT1201 students have brown eyes and we take a random sample of 4 students. Let ? be the number of students with brown eyes in the sample. What is the distribution of ??

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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Question

a) Suppose 56% of STAT1201 students have brown eyes and we take a random sample of 4 students. Let ? be the number of students with brown eyes in the sample. What is the distribution of ??
b) Let ? be the number of towns in which it will rain tomorrow among five neighbouring towns. Is ? a Binomial random variable?
c) Suppose 10% of people are left-handed and let ? be the number of left-handed people in sample of 20 individuals. What is the probability of at least one left-handed person in the sample?
d) Suppose a drug has a 20% chance of making a person drowsy. Out of a sample of 80 people who each take the drug, what is the probability that no more than 10 of them experience drowsiness?

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