Quiz about binomial cdf and pdf

Question 1

If you were to flip a coin 20 times, what is the probability you would get at least 13 heads?

Accepted Answer

.1316

Answer

.9423

Answer

.0577

Answer

.0739

Question 2

If you were to flip a coin 20 times, what is the probability you would get at most 13 heads?

Accepted Answer

.9423

Answer

.1316

Answer

.0577

Answer

.0739

Question 3

If you were to flip a coin 20 times, what is the probability you would get exactly 10 heads?

Accepted Answer

.1762

Answer

.5

Answer

.5881

Answer

.4119

Question 4

If you were to flip a coin 20 times, what is the probability you would get either 10 or 11 heads?

Accepted Answer

.3364

Answer

.8398

Answer

.1602

Answer

.6636

Question 5

Suppose 39% of Americans will vote for Donald Trump on election day.  If a random sample of 8 voters are selected, what is the probability that more than 5 will vote for Trump?

Accepted Answer

.0439

Answer

.9635

Answer

.0365

Answer

.9561

Question 6

In Vietnam, the probability of rain is 70%. Find the probability of it raining at most 2 days in a week.

Accepted Answer

.0287

Answer

.9712

Answer

0.0250

Answer

.2988

Question 7

In Vietnam, the probability of rain is 70%. Find the probability of it raining at most 5 days in a week.

Accepted Answer

.6705

Answer

.9712

Answer

.3294

Answer

.5520

Question 8

If a standard die is rolled 8 times, find the probability of rolling a number 4 at least twice.

Accepted Answer

.3953

Answer

.9548

Answer

.8554

Answer

.2245

Question 9

An algebra 2 test has 6 multiple choice questions with four choices with one correct answer each. If we just randomly guess on each of the 6 questions, what is the probability that you get exactly 3 questions correct?

Accepted Answer

0.132

Answer

0.962

Answer

0.831

Answer

0.250

Question 10

The American Red Cross says that about 11% of the U.S. population has Type B blood. A blood drive is being held at your school. What is the probability that at least 2 of the first 10 blood donors has Type B blood?

Accepted Answer

0.303

Answer

0.088

Answer

0.697

Answer

0.214

Question 11

A test has 8 multiple choice questions with four choices with one correct answer each. If we just randomly guess on each of the 8 questions, what is the probability that you get at least 3 questions correct?

Accepted Answer

0.321

Answer

0.886

Answer

0.678

Answer

0.208

Question 12

A survey found that 25% of pet owners had their pets bathed professionally rather than do it themselves. If 18 pet owners are randomly selected, find the probability that exactly 5 people have their pets bathed professionally

Accepted Answer

0.199

Answer

3.42

Answer

1.03

Answer

0.072

Question 13

A research team at Cornell University conducted a study showing that approximately 10% of all businessmen who wear ties wear them so tightly that they actually reduce blood flow to brain, diminishing cerebral functions. At a board meeting of 20 businessmen, all of whom wear ties, what is the probability that at least one tie is too tight?

Accepted Answer

87.8%

Answer

27.0%

Answer

12.2%

Answer

73.0%

Question 14

A quarterback has a incomplete passing percentage of 30%. What is the probability that he does not complete exactly 8 of his 20 passes?

Accepted Answer

11.44%

Answer

12.45%

Answer

54%

Answer

12.34%

Question 15

You are playing against Miss Soldan in a student/faculty basketball game. You know she is terrible at free throws (she has an 8% accuracy rate), so you keep fouling her. If she attempts 18 free throws, what is the probability that she makes more than 3 of them?

Accepted Answer

0.05

Answer

0.95

Answer

0.17

Answer

0.83

Question 16

According to a recent survey, 15% of houses in America are haunted by a ghost. If your neighborhood has 40 houses, what is the probability that 5 or more of them are haunted?

Accepted Answer

0.74

Answer

0.26

Answer

0.57

Answer

0.43

Question 17

You notice that cold weather makes Dr. Marks extra salty. When the weather is cold, there is a 40% chance of a tardy sweep. If February has 19 cold days, what is the probability that Dr. Marks will call more than 5 tardy sweeps?

Accepted Answer

0.84

Answer

0.16

Answer

0.93

Answer

0.07

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