Consider a binomial probability distribution with
pequals=0.3
and
nequals=8.
What is the probability of the following?
a) |
exactly three successes |
b) |
less than three successes |
c) |
sixsix or more successes |
a)
Upper P left parenthesis x equals 3 right parenthesisP(x=3)equals=nothing
(Round to four decimal places as needed.) b)
Upper P left parenthesis x less than 3 right parenthesisP(x<3)equals=nothing
(Round to four decimal places as needed.) c)
Upper P left parenthesis x greater than or equals 6 right parenthesisP(x≥6)equals=nothing
(Round to four decimal places as needed.)
Binomial distribution: P(X) = nCx px qn-x
n = 8
p = 0.3
q = 1 - p = 0.7
a) P(exactly three successes) = P(X = 3)
= 8C3 x 0.33 x 0.75
= 0.2541
b) P(less than three successes) = P(X = 0) + P(X = 1) + P(X = 2)
= 0.78 + 8x0.3x0.77 + 8C2x0.32x0.76
= 0.0576 + 0.1977 + 0.2965
= 0.5518
c) P(6 or more successes) = P(X = 6) + P(X = 7) + P(X = 8)
= 8C6x0.36x0.72 + 8x0.37x0.7 + 0.38
= 0.0100 + 0.0012 + 0.0001
= 0.0113
Consider a binomial probability distribution with pequals=0.3 and nequals=8. What is the probability of the following?...
Consider a binomial probability distribution with p=0.3 and n = 8. What is the probability of the following? b) exactly three successes less than three successes six or more successes a) P(x = 3) = b) P(x<3)= (Round to four decimal places as needed.) (Round to four decimal places as needed.) c) P(x26)= (Round to four decimal places as needed.)
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The answers are in red. Please do part a-c. Thanks! Consider a binomial probability distribution with p 0.3 and n 8. What is the probability of the following? a b) exactly three successes less than three successes six or more successes a) P(x 3) 0.2541 (Round to four decimal places as needed.) b) P(x 3)= 0.5518 (Round to four decimal places as needed.) c) P(x 6) 0.0113 (Round to four decimal places as needed.)
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