Sata HW

STAT.WEEK 3

QUESTION 1

The following table is a probability distribution. 

 True

 False

QUESTION 2

The given procedure results in a binomial distribution: 

Recording the genders of 100 newborn babies.

 True

 False

QUESTION 3

The given procedure results in a binomial distribution: 

Surveying 100 married couples by asking them how many children they have.

 True

 False

QUESTION 4

Assume that a procedure yields a binomial distribution with a trial repeated n times. Use the binomial probability formula to find the probability of x successes given the probability pof success on a single trial. (up to three decimal place)

n=6, x=3, p=.45

QUESTION 5

Assume that a procedure yields a binomial distribution with a trial repeated n times. Use the binomial probability formula to find the probability of x successes given the probability pof success on a single trial. (up to three decimal place)

n=10, x=8, p=.73

QUESTION 6

Assume that the Poisson distribution applies and proceed to use the given mean to find the indicated probability: if mu= .5, find p(2). (up to three decimal place)

QUESTION 7

Assume that the Poisson distribution applies and proceed to use the given mean to find the indicated probability: if mu= 2, find p(3). (up to three decimal place)

QUESTION 8

A researcher reports that when groups of four children are randomly selected from a population of couples meeting certain criteria, the probability distribution for the number of girls is as given below. Find the probability of exactly 2 girls in four children. (up to one decimal place, please)

QUESTION 9

A researcher reports that when groups of four children are randomly selected from a population of couples meeting certain criteria, the probability distribution for the number of girls is as given below. Find the probability of at most 2 girls in four children. (up to one decimal place, please)

QUESTION 10

Suppose that there is a 10% chance to have a side effect of a drug. Let X be the number of people who had a side effect after taking the drug. If 10 people are selected at random what is the probability that none of them will have the side effect after taking the drug? (Hint: you may start to figure out the distribution of X and then compute the probability.)

QUESTION 11

Suppose that there is a 78% chance to attend a city council meeting. Let X be the number of people who attended the meeting. If 7 people are selected at random, what is the probability that everyone attended the meeting.  (Up to three decimal place, please)

QUESTION 12

A company receives large shipments of aspirin tablets and uses this acceptance sampling plan: randomly select and test 24 tablets, then accept the whole batch if there is only one or none that doesn't meet the required specifications. If a particular shipment of thousands of aspirin tablets actually has a 4% rate of defects, what is the probability that this whole shipment will be accepted? (Up to three decimal place, please)

QUESTION 13

Nine percent of men cannot distinguish between the colors red and green. If 6 men are randomly selected for a study, find the probability that exactly 2 of them cannot distinguish between red and green. (Up to three decimal place, please)

QUESTION 14

Ten percent of American adults are left-handed. A statistics class has 20 students in attendance. Find the probability that exactly 2 students are left-handed. (Up to three decimal place, please) 

QUESTION 15

The average number of giving a flu shot in a hospital is six per day. What is the probability that exactly 2 people will visit the hospital to get a shot on a randomly selected day?

QUESTION 16

Dandelions are studied for their effects on crop production and lawn growth. In one region, the mean number of dandelions per square meter was found to be 7.0. Find the probability of at least one dandelion in an area of 1 m2.

QUESTION 17

Currently, 11 babies are born in the village of Westport each year. Find the mean number of births per day. (Up to three decimal place, please) 

QUESTION 18

There are average 5 patients per hour. Find the probability that there are exactly two patients in the next hour. (Up to three decimal place, please) 

QUESTION 19

Currently, 11 babies are born in the village of Westport each year. Find the probability that on a given day, there are no births. (Up to three decimal place, please)