Binomial Probabiltiy Review

A random sample of 15 people is taken from a population in which 40% favour a particular political stand. What is the probability that exactly 6 individuals in the sample favour this political stand?  

• .4000
• .5000
• .2066
• .0041

Experience has shown that a certain lie detector will show a positive reading (indicates a lie) 10% of the time when a person is telling the truth and 95% of the time when a person is lying. Suppose that a random sample of 5 suspects is subjected to a lie detector test regarding a recent one-person crime. Then the probability of observing 3 positive readings if all suspects plead innocent and are telling the truth is

• .409
• .735
• .0081
• .5905

Tags

CCSS.HSS.MD.B.6

CCSS.HSS.MD.B.7

It has been estimated that about 30% of frozen chicken contain enough salmonella bacteria to cause illness if improperly cooked. A consumer purchases 12 frozen chickens. What is the probability that the consumer will have more than 6 contaminated chickens? 

• .961
• .118
• .882
• .039

The probability that a certain machine will produce a defective item is 1/4. If a random sample of 6 items is taken from the output of this machine, what is the probability that there will be 5 or more defectives in the sample?

• 19/4096
• 18/4096
• 4/4096
• 3/4096

Tags

CCSS.HSS.MD.B.6

CCSS.HSS.MD.B.7

Seventeen people have been exposed to a particular disease. Each one independently has a 40% chance of contracting the disease. A hospital has the capacity to handle 10 cases of the disease. What is the probability that the hospital's capacity will be exceeded? 

• .965
• .035
• .989
• .011