HW 4 Week 2-2

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Question #1

Currently, 11 babies are born in the village of Westport each year. Find the probability that on a given day, there is at least one birth. (Up to four decimal places)

A 0.0648

B 0.0948

C 0.0357

D 0.0297

Question #2

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 four decimal places)

A 0.6417

B 0.8108

C 0.5443

D 0.9704

Question #3

There are average 5 patients per hour. Find the probability that there are exactly two patients in the next hour. (Up to four decimal places)

A 0.0842

B 0.0517

C 0.0479

D 0.0631

Question #4

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

A 0.0222

B 0.0844

C 0.0301

D 0.0984

Question #5

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.

A 0.0064

B 0.0009

C 0.9936

D 0.9991

Question #6

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?

A 0.0446

B 0.0120

C 0.3333

D 0.1670

Question #7

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 four decimal places)

A 0.1649

B 0.2852

C 0.4289

D 0.3469

Question #8

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 four decimal places)

A 0.0624

B 0.0119

C 0.1098

D 0.0833

Question #9

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 four decimal places)

A 0.5509

B 0.6619

C 0.8117

D 0.7508

Question #10

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 four decimal places)

A 0.2145

B 0.1757

C 0.0945

D 0.1211

Question #11

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 need to figure out the distribution of X and then compute the probability.)

A 0.349

B 0.000

C 0.100

D 0.035

Question #12

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 four decimal places)

A 0.0693

B 0.0758

C 0.0866

D 0.0514

Question #13

Assume that a procedure yields a binomial distribution with a trial repeated n times. Use the binomial probability formula to find the probability of k successes given the probability p of success on a single trial. (up to four decimal places)
n=6, k=3, p=.45

A 0.4075

B 0.5015

C 0.3032

D 0.2125

Question #14

A random variable may follow a __________ distribution if we are looking for the number of events, the population that generates such events is large, and the events occur independently of each other.

A poisson

B binomial

C Normal

Question #15

The given procedure results in a binomial distribution:
Surveying 100 married couples by asking them how many children they have.

A False

B True

Question #16

The given procedure results in a binomial distribution:
Recording the status of course completion in a semester: Complete vs. Incomplete

A False

B True

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