Soalan/ Question 2: Given a normally distributed population with a mean of 75 and a variance of 625, find: f) P(50 sxs 100) P(X > 90) P(x < 60) P(x 2 85) g) h) i) P( 30 sxs 110)

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Q: Probability

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A: Givenn=3p=0.6x~Binomial(n=3,p=0.6)P(X=x)=(nx)×px×(1-p)n-x    ; x=0,1...,n

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Q: eiw Фx (») %3D 1+ 4w? 11) Prove that the mean of X= 1.

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Q: Show that if 4, and A, are two events, then P(A₂)+P(A₂)−1≤P(44₂).

A: First we will write Inclusion-exclusion principle for two sets.

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Q: 10 A nature reserve has one bird of an uncommon species which frequents the large expanse of reed…

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Q: Let X-bin(6,0.57), then P(x=2) is equal to: a. 0.333 b. 0.325 c. 0.293 d. 0.167 e. 0.111

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Q: A random variable, X, has a normal distribution with mean equal to 1000 and standard deviation equal…

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