MATH302 D009 Fall 2025 – APEI Miguel Goode latest updated version with 100% accurate solutions

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MATH302 D009 Fall 2025 – APEI Miguel Goode
latest updated version with 100% accurate solutions


Week 3 Test - Results



Attempt 1 of 2

Written Dec 21, 2025 1:35 PM - Dec 21, 2025 2:49 PM




Attempt Score - 80 %
Overall Grade (Highest Attempt) - 80 %




Question 1 point

If random variable X has a binomial distribution with n=9 and P(success) =p=
0.4, find the standard deviation of X. (round to 4 decimal places) Answer:
___1.4697___

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in Excel,

=SQRT(9*0.4*0.6)




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Question 2 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




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: ___0.1875___ (0.8555, .8555)

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P(x < 6) = P(x ≤ 5), in Excel

=BINOM.DIST(5,8,0.5,TRUE)




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