MATH 302 Week 3 Test | Questions and Answers | 2025/2026 Update | 100%
Correct.
Attempt 1 of 2
Written Sep 21, 2025 9:02 PM - Sep 21, 2025 9:50 PM
Attempt Score - 95 %
Overall Grade (Highest Attempt) - 95 %
Question 1 point
Approximately 10% of all people are left-handed. Out of a random sample
of 15 people, what is the probability that 4 of them are left-handed? Round
answer to 4 decimal places. Answer: 0.0428
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P(x = 4), In Excel,
=BINOM.DIST(4,15,0.1,FALSE)
Question 2 point
If random variable X has a binomial distribution with n =7 and P(success) =
p =0.6, find the probability that X is at least 6. (That is, find P(X ≥ 6) (round
to 4 decimal places) Answer: 0.1586
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P(x ≥ 6) = 1 - P(x ≤ 5), in Excel
=1-BINOM.DIST(5,7,0.6,TRUE)
Question 3 point
It is known that 50% of adult workers have a high school diploma. If a
random sample of 8 adult workers is selected, what is the probability that
less than 6 of them have a high school diploma? (That is, what is P(X < 6)
(round to 4 decimal places) Answer: 0.8555
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P(x < 6) = P(x ≤ 5), in Excel
=BINOM.DIST(5,8,0.5,TRUE)
Question 4 point
Suppose a random variable, x, arises from a binomial experiment. If n = 25,
and p = 0.85, find the variance. Round answer to 4 decimal places. Answer:
3.1875
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25*.85*.15
Correct.
Attempt 1 of 2
Written Sep 21, 2025 9:02 PM - Sep 21, 2025 9:50 PM
Attempt Score - 95 %
Overall Grade (Highest Attempt) - 95 %
Question 1 point
Approximately 10% of all people are left-handed. Out of a random sample
of 15 people, what is the probability that 4 of them are left-handed? Round
answer to 4 decimal places. Answer: 0.0428
Hide question 1 feedback
Feedback
P(x = 4), In Excel,
=BINOM.DIST(4,15,0.1,FALSE)
Question 2 point
If random variable X has a binomial distribution with n =7 and P(success) =
p =0.6, find the probability that X is at least 6. (That is, find P(X ≥ 6) (round
to 4 decimal places) Answer: 0.1586
, Hide question 2 feedback
Feedback
P(x ≥ 6) = 1 - P(x ≤ 5), in Excel
=1-BINOM.DIST(5,7,0.6,TRUE)
Question 3 point
It is known that 50% of adult workers have a high school diploma. If a
random sample of 8 adult workers is selected, what is the probability that
less than 6 of them have a high school diploma? (That is, what is P(X < 6)
(round to 4 decimal places) Answer: 0.8555
Hide question 3 feedback
Feedback
P(x < 6) = P(x ≤ 5), in Excel
=BINOM.DIST(5,8,0.5,TRUE)
Question 4 point
Suppose a random variable, x, arises from a binomial experiment. If n = 25,
and p = 0.85, find the variance. Round answer to 4 decimal places. Answer:
3.1875
Hide question 4 feedback
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25*.85*.15
