Assume that 21% of the supporters of a digital TV organization watch the shopping channel in any event once per month. The link organization is attempting to conclude whether to supplant this channel with another neighborhood station. A study of 81 endorsers will be embraced. The link organization has chosen to drop the shopping channel if the example extent is under 0.19.

A) What is the likelihood that the link organization will drop the shopping channel, despite the fact that the genuine extent of all endorsers who watch it is 0.21? (express in decimal structure and round conclusive response to 3 decimal spots)

B)What was the Z-score you used to find the solution above? (round definite response to 2 decimal spots)

In the library on a college grounds, there is a sign in the lift that shows a constraint of 15 people. Also, there is a weight breaking point of 2500 pounds. Expect that the normal load of understudies, workforce, and staff nearby is 152 pounds, that the standard deviation is 26 pounds, and that the dissemination of loads of people is roughly ordinary.

A)What is the likelihood that an arbitrarily chosen individual on this grounds gauges in excess of 166 pounds? (express in decimal structure and round definite response to 4 decimal spots)

B)What is the likelihood that an arbitrary example of 15 individuals surpass the lift's weight limit? (express in decimal structure and round conclusive response to 4 decimal spots)

The time, X, to disease for Eagle Flu in minutes, in the wake of coming into contact with the infection has total appropriation F with the accompanying definition:

F(x) = 0 for x < 1 and F(x)= (3/2)- (3/2x) for 0 x 3

g) Calculate the 60th percentile of X.

h) What is the normal estimation of X?

I) What is the normal estimation of

X2

?

Martian potatoes start to grow rapidly in the wake of planting. Assume X is the quantity of days in the wake of planting until a Martian potato sprouts. At that point X has the accompanying likelihood thickness work: f(x)=

2/7ex

+

3/14ex/2

+

1/14ex/4

for

0 x

also, 0 in any case.

d) What is the normal estimation of X (E(X))?

e) What is the normal estimation of

X2

?

f) What is the fluctuation of X?