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Two fair dice are rolled 5 times. Let the random variable represent the number of times that the sum 8 occurs. The table below describes the probability distribution. Find the value of the missing probability. P(z) 0 0.473473814517392 2 0.123172168188708 3 0.0198664787401142 4 0.00160213538226727 5 5.16817865247506e-05 Would it be unusual to roll a pair of dice 5 times and get no 8s? (enter YES or NO) no

Two fair dice are rolled 5 times. Let the random variable represent the number of times that the sum 8 occurs. The table below describes the probability distribution. Find the value of the missing probability. P(z) 0 0.473473814517392 2 0.123172168188708 3 0.0198664787401142 4 0.00160213538226727 5 5.16817865247506e-05 Would it be unusual to roll a pair of dice 5 times and get no 8s? (enter YES or NO) no

Calculus For The Life Sciences
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter12: Probability
Section12.4: Discrete Random Variables; Applications To Decision Making
Problem 2E
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Two fair dice are rolled 5 times. Let the random variable & represent the number of times that the sum 8 occurs. The table below describes the probability distribution. Find the value of the missing probability. P(x) Ꮖ 0 0.473473814517392 1 2 0.123172168188708 3 0.0198664787401142 4 0.00160213538226727 5 5.16817865247506e-05 Would it be unusual to roll a pair of dice 5 times and get no 8s? (enter YES or NO) no
Transcribed Image Text:Two fair dice are rolled 5 times. Let the random variable & represent the number of times that the sum 8 occurs. The table below describes the probability distribution. Find the value of the missing probability. P(x) Ꮖ 0 0.473473814517392 1 2 0.123172168188708 3 0.0198664787401142 4 0.00160213538226727 5 5.16817865247506e-05 Would it be unusual to roll a pair of dice 5 times and get no 8s? (enter YES or NO) no
Let the random variable X be the number of rooms in a randomly chosen owner-occupied housing unit in a certain city. The distribution for the units is given below. 3 4 5 6 7 X 8 9 10 P(X) 0.07 0.2 0.4 0.17 0.05 0.05 0.04 ? (a) Is X a discrete or continuous random variable? (Type: DISCRETE or CONTINUOUS) ANSWER: discrete (b) What must be the probability of choosing a unit with 10 rooms? P(X = 10) = 0.02 (c) What is the probability that a unit chosen at random is not a 10-room unit? P(X = 10) - (d) What is the probability that a unit chosen at random has three rooms? P(X = 3) = || = (e) What is the probability that a unit chosen at random has between four and six rooms? P(4≤ X ≤ 6) =
Transcribed Image Text:Let the random variable X be the number of rooms in a randomly chosen owner-occupied housing unit in a certain city. The distribution for the units is given below. 3 4 5 6 7 X 8 9 10 P(X) 0.07 0.2 0.4 0.17 0.05 0.05 0.04 ? (a) Is X a discrete or continuous random variable? (Type: DISCRETE or CONTINUOUS) ANSWER: discrete (b) What must be the probability of choosing a unit with 10 rooms? P(X = 10) = 0.02 (c) What is the probability that a unit chosen at random is not a 10-room unit? P(X = 10) - (d) What is the probability that a unit chosen at random has three rooms? P(X = 3) = || = (e) What is the probability that a unit chosen at random has between four and six rooms? P(4≤ X ≤ 6) =
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