(a) Find P [Z > 1.26]. (b) Find P [Z > -1.37}. (c) find
P[-1.25
(a)
Find P [Z > 1.26]. (b) Find P [Z > -1.37}. (c) find
P[-1.25<Z<0.37). (d) find z such that P[Z>z]=0.05. (e)
find z such that P[-z<Z<z]=0.99. (f) find the value of k such
that P[k<Z<-0.18]=0.4197
6.8 For normal(0,1), find a number z ∗ solving P(−z ∗ ≤ Z ≤ z ∗
) = .05 (use qnorm and symmetry).R coding
6.10 Make a histogram of 100 exponential numbers with mean 10.
Estimate the median. Is it more or less than the mean?
find the probabilities for each using the standard normal
distribution. p(0<z<0.95), p(0<z<1.96),
p(-1.38<z<0), p(z>2.33), p(z<-1.51),
p(1.56<z<2.13), p(z<1.42)
Find the following probabilities for the standard normal random
variable z z :
a) P(−2.07≤z≤1.93)= P ( − 2.07 ≤ z ≤ 1.93 ) =
(b) P(−0.46≤z≤1.73)= P ( − 0.46 ≤ z ≤ 1.73 ) =
(c) P(z≤1.44)= P ( z ≤ 1.44 ) =
(d) P(z>−1.57)= P ( z > − 1.57 ) =
1.- Find the following probabilities. (a) P(Z > 1.4)
(b) P(−1 < Z < 1) (c) P(Z < −1.49)
2.- Find (a) Z0.03 (b) Z0.07
3.- The distance that a Tesla model 3 can travel is normally
distributed with a mean of 260 miles and a standard deviation of 25
miles.
(a) What is the probability that a randomly selected Tesla model
3 can travel more than 310 miles?
(b) What is the probability that a randomly selected Tesla...