If random variable X has a binomial distribution with n =10 and P(success) =p =0.2, find the probability
that X is less than 6. (That is, find P(X<6) Answer: (round to 4 decimal places)
Answer Key:0.9936|.9936
P(x < 6) = P(x is less than or equal to 5), in Excel
=BINOM.DIST(5,10,0.2,TRUE)
Approximately 8% of all people have blue eyes. Out of a random sample of 20 people, what is the
probability that at most 2 of them have blue eyes? Round answer to 4 decimal places.
Answer Key:0.7879|.7879
P(x is less than or equal to 2), in Excel
=BINOM.DIST(2,20,0.08,TRUE)
Suppose a random variable, x, arises from a binomial experiment. If n = 14, and p = 0.13, find the
standard deviation. Round answer to 4 decimal places.
Answer Key:1.2583
=SQRT(14*0.13*0.87), in Excel
Approximately 10% of all people are left-handed. If 200 people are randomly selected, what is the
expected number of left-handed people? Round to the whole number. Do not use decimals.
200 * 0.10 = 20
If random variable X has a binomial distribution with n=15 and P(success) =p= 0.6, find the mean of X.
That is, find E(X). Round to the whole number. Do not use decimals. Answer: 9
Answer Key:9
15 * 0.6 = 9
The table shows a random sample of musicians and how they learned to play their instruments.
Gender|Self-Taught|Studied in School|Private Instruction|Total|
Female| 12 | 38 | 22 | 72 |
This study source was downloaded by 100000857952895 from CourseHero.com on 01-27-2023 04:56:04 GMT -06:00
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, Male | 19 | 24 | 15 | 58 |
Total | 31 | 62 | 37 | 130 |
Find P(musician is a female AND had private instruction).
A. 0.17
Feedback:22/130
A baseball team has a 20-person roster. A batting order has nine people. How many different batting
orders are there? Answer:
A. 60949324800
Order Matters
=PERMUT(20,9)
There are 4 answers for a single question on the exam and only one answer is correct. If a student
guesses the answer for this question, what is the probability that the student selects the correct answer?
(round to 2 decimal places)
Answer Key:0.25|.25
Feedback: 4 possibilities but only 1 correct answer. 1/4
Find the probability of rolling a sum of two dice that is a 7 or a 12. Round answer to 4 decimal places.
Answer: 0.1944
Dice outcomes
1 2 3 4 5 6
1 (1, 1) (1, 2) (1, 3) (1, 4) (1, 5) (1, 6)
2 (2, 1) (2, 2) (2, 3) (2, 4) (2, 5) (2, 6)
3 (3, 1) (3, 2) (3, 3) (3, 4) (3, 5) (3, 6)
4 (4, 1) (4, 2) (4, 3) (4, 4) (4, 5) (4, 6)
5 (5, 1) (5, 2) (5, 3) (5, 4) (5, 5) (5, 6)
This study source was downloaded by 100000857952895 from CourseHero.com on 01-27-2023 04:56:04 GMT -06:00
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that X is less than 6. (That is, find P(X<6) Answer: (round to 4 decimal places)
Answer Key:0.9936|.9936
P(x < 6) = P(x is less than or equal to 5), in Excel
=BINOM.DIST(5,10,0.2,TRUE)
Approximately 8% of all people have blue eyes. Out of a random sample of 20 people, what is the
probability that at most 2 of them have blue eyes? Round answer to 4 decimal places.
Answer Key:0.7879|.7879
P(x is less than or equal to 2), in Excel
=BINOM.DIST(2,20,0.08,TRUE)
Suppose a random variable, x, arises from a binomial experiment. If n = 14, and p = 0.13, find the
standard deviation. Round answer to 4 decimal places.
Answer Key:1.2583
=SQRT(14*0.13*0.87), in Excel
Approximately 10% of all people are left-handed. If 200 people are randomly selected, what is the
expected number of left-handed people? Round to the whole number. Do not use decimals.
200 * 0.10 = 20
If random variable X has a binomial distribution with n=15 and P(success) =p= 0.6, find the mean of X.
That is, find E(X). Round to the whole number. Do not use decimals. Answer: 9
Answer Key:9
15 * 0.6 = 9
The table shows a random sample of musicians and how they learned to play their instruments.
Gender|Self-Taught|Studied in School|Private Instruction|Total|
Female| 12 | 38 | 22 | 72 |
This study source was downloaded by 100000857952895 from CourseHero.com on 01-27-2023 04:56:04 GMT -06:00
https://www.coursehero.com/file/63597237/MATH302-Week-3-Quizrtf/
, Male | 19 | 24 | 15 | 58 |
Total | 31 | 62 | 37 | 130 |
Find P(musician is a female AND had private instruction).
A. 0.17
Feedback:22/130
A baseball team has a 20-person roster. A batting order has nine people. How many different batting
orders are there? Answer:
A. 60949324800
Order Matters
=PERMUT(20,9)
There are 4 answers for a single question on the exam and only one answer is correct. If a student
guesses the answer for this question, what is the probability that the student selects the correct answer?
(round to 2 decimal places)
Answer Key:0.25|.25
Feedback: 4 possibilities but only 1 correct answer. 1/4
Find the probability of rolling a sum of two dice that is a 7 or a 12. Round answer to 4 decimal places.
Answer: 0.1944
Dice outcomes
1 2 3 4 5 6
1 (1, 1) (1, 2) (1, 3) (1, 4) (1, 5) (1, 6)
2 (2, 1) (2, 2) (2, 3) (2, 4) (2, 5) (2, 6)
3 (3, 1) (3, 2) (3, 3) (3, 4) (3, 5) (3, 6)
4 (4, 1) (4, 2) (4, 3) (4, 4) (4, 5) (4, 6)
5 (5, 1) (5, 2) (5, 3) (5, 4) (5, 5) (5, 6)
This study source was downloaded by 100000857952895 from CourseHero.com on 01-27-2023 04:56:04 GMT -06:00
https://www.coursehero.com/file/63597237/MATH302-Week-3-Quizrtf/
