Solution :
Given that,
Using standard normal table ,
P(z < 1.73) = 0.9582
option 1) is correct
Find the following probability for a standard normal random variable, P(Z < 1.73). 1).9582 O2).0418 O3).1354...
Copy of If Z is a standard normal random variable, find P(-1.7 <Z < 2.6). 0.4217 0.9507 -0.9508 0.9953 0.0446
Suppose Z is a standard normal random variable. (See problem.) If P(-z<z<z) 0.796, find Question 1 Find P(-2.46 <Z<-0.98) Question 2
(1 point) Find the following probabilities for the standard normal random variable z. (a) P(-0.81 <<0.42) (b) P(-1.14 <z < 0.5) (c) P(Z < 0.69) a (d) P(Z > -0.6)
29. Let Z be a standard normal random variable. (a) Compute the probability F(a) = P(2? < a) in terms of the distribution function of Z. (b) Differentiating in a, show that Z2 has Gamma distribution with parameters α and θ = 2.
IS Find the following probability for the standard normal random variable z. a. P(z<-1.02) b. P(z <2.03) c. P(0.68 szs2.03) d. P(-2.66szs1.56) a. P(z -1.02)(Round to four decimal places as needed.) b. Pize 2.03)=[] (Round to four decimal places as needed.) ook c. P(0.68 szs2.03) (Round to four decimal places as needed.) d.P(-2.66 s zs 1.56) = [□ (Round to four decimal places as needed.)
Let the random variable Z follow a standard normal distribution. Find P(-2.35 < Z< -0.65). Your Answer:
1. Given that z is a standard normal random variable, compute the following probabilities. a. P(Z < 1.38) b. P(z 2 1.32) c. P(-1.23 Sz5 1.23)
3. Using the norm.s.dist() command, for the standard normal random variable z find the following: (a) P(-1 <zcl )= (b) P(-222)- (c) P(-33)-
QUESTION 10 4 If Z is a standard normal random variable, then P(-1.25<= Z <=-0.75) is QUESTION 11 4F It is given that x, the unsupported stem diameter of a sunflower plant, is normally distributed with population mean mu=35 and population standard deviation sigma=3. What is the probability that a sunflower plant will have a basal diameter of more than 40 mm? 4 pc QUESTION 12 A random variable x is normally distributed with u = 100 and o-20, What...
4. Let Z ~ N(0,1) be a standard normal variable. Calculate the probability (a) P(1 <Z < 2). (b) P(-0.25 < < < 0.8). (c) P(Z = 0). (d) P(Z > -1).