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DeVry MATH 221 Quiz Week 5 - Latest
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MATH 221 Quiz Week 5 DeVry
1. Sixty percent of households say they would feel secure if they had $50,000 in savings. You randomly select 8 households and ask them if they would feel secure if they had $50,000 in savings. Find the probability that the number that say they would feel secure is (a) exactly five, (b) more than five, and (c) at most five.
2. Find the probability that the number that say they would feel secure is exactly five.
P(5) = 0.279 (Round to three decimal places as needed)
1. Find the probability that the number that say they would feel secure is more than five.
P(x>5) = 0.315 (Round to three decimal places as needed)
1. Find the probability that the number that say they would feel secure is at most five.
P(x≤5) = 0.685 (Round to three decimal places as needed)
Hint:
Let X be the number of households say they would feel secure if they had $50,000 in savings. Clearly X is binomial with n = 8 and p = 0.60. The probability mass function binomial variable is given by .The probability for different values of x are given below.
X P(X) P(=X)
0 0.00065536 0.00065536 0 0.99934464 1
1 0.00786432 0.00851968 0.00065536 0.99148032 0.99934464
2 0.04128768 0.04980736 0.00851968 0.95019264 0.99148032
3 0.12386304 0.1736704 0.04980736 0.8263296 0.95019264
4 0.2322432 0.4059136 0.1736704 0.5940864 0.8263296
5 0.279 0.685 0.4059136 0.315 0.5940864
6 0.20901888 0.89362432 0.68460544 0.10637568 0.31539456
7 0.08957952 0.98320384 0.89362432 0.01679616 0.10637568
8 0.01679616 1 0.98320384 0 0.01679616
(a) P (5) = = 0.279
(b) P (x > 5) = P (x = 6) + P (x = 7) + P (x = 8)
= 0.315
(c) P (x ≤ 5) = 1 – P (x > 5) = 1 – 0.315 = 0.685
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