Use the CDF Fy(y) to find the following probabilities: a. P[Y < 1] b. Р[Y 2 2] c. P[Y = 1] d. P[Y = 3] 1 0.8 0.6 0.4 0.2 0 1 2 3 4 5 y Ans. A) 0 B) 0.4 C) 0.6 D) 0

Write the m.g.f. of a r.v. X taking on values -4, 0 and 4 with respective probabilities 0.3, 0.4, and 0.3. 0.3 e4 +0.4 • e² + 0.3 -4z 0.3 e +0.4+ 0.3. e4z 1+0.3. e4z +0.3 · e-4z e4 0.3 ez +0.4 e² + 0.3. e4z

If two persons A and B are attending a test with P(A)=0.45, P(B)=D0.36 then PAUB)=D O a. 0.648 O b. 0.19 O c. 0.162 O d. 0.81

Prob ... solve Q 1 & Q 2 please ?

i need detailed solution

Can someone please help me with these questions.

A nature reserve has one bird of an uncommon species which frequents the large expanse of reed beds there. It is found that if a birdwatcher arrives at the path adjoining the reed beds, the probability that he or she is still waiting there to see the bird a time y later, where y is measured in minutes, is ·c ²²³ + 2 y c , y ≥0. 3 Find the probability that a birdwatcher spends between 2 and 4 minutes waiting to see the bird, and the mean and variance of the time that he or she waits there.

1. Determine the requested probabilities. -2 -1 1 2 f(x) 0.2 0.4 0.1 0.2 0.1 a) P(xs 2) b) P(x > -2) c) P(-1 sx< 1) d) P(x = 2 or xs-1)

Q.3

Pr[A]=7/9 Pr[B]=2/9 Pr[a|A]=3/5 Pr[b|A]=2/5 Pr[a|B]=1/3 Pr[b|B]=2/3 Find the following missing probabilities: (1) Pr[B]=  (2) Pr[b]=     (3) Pr[b|B]=     (4) Pr[B|b]=