Solution 1
O RANDOM VARIABLES AND DISTRIBUTIONS Standard normal values: Advanced Let Z be a standard normal random...
O RANDOM VARIABLES AND DISTRIBUTIONS Standard normal values: Basic Let z be a standard normal random variable. Use the calculator provided, or this table, to determine the value of c. P(-c<Z<c)=0.9500 Carry your intermediate computations to at least four decimal places. Round your answer to two decimal places. x 5 ?
Let z be a random variable with a standard normal distribution. Find the indicated probability. (Round your answer to four decimal places.) P(−1.24 ≤ z ≤ 2.64) = Shade the corresponding area under the standard normal curve.
Let z be a random variable with a standard normal distribution. Find the indicated probability. (Round your answer to four decimal places.) P(−1.22 ≤ z ≤ 2.61) = Shade the corresponding area under the standard normal curve.
Exercise 6.15. Let Z, W be independent standard normal random variables and-1 < ρ < l. Check that if X-Z and Y-p2+ VI-p-W then the pair (X, Y) has standard bivariate normal distribution with parameter ρ. Hint. You can use Fact 6.41 or arrange the calculation so that a change of variable in the inner integral of a double integral leads to the right density function.
Let z be a random variable with a standard normal distribution. Find the indicated probability. (Round your answer to four decimal places.) P(z ≤ −1.94) = [x].
Let z be a random variable with a standard normal distribution. Find the indicated probability. (Round your answer to four decimal places.) P(−2.12 ≤ z ≤ −0.41) =
Let z be a random variable with a standard normal distribution. Find the indicated probability. (Round your answer to four decimal places.) P(−2.07 ≤ z ≤ −0.49) =
Let z be a random variable with a standard normal distribution. Find the indicated probability. (Round your answer to four decimal places.) P(−1.14 ≤ z ≤ 2.63) =
Let z be a random variable with a standard normal distribution. Find the indicated probability. (Enter a number. Round your answer to four decimal places.) P(z ≥ 1.41) =
Statistics Unit Three Let z be a random variable with a standard normal distribution. Find the indicated probability (Round your answer to four decimal places.) Pz z 1.21)- Shade the corresponding area under the standard normal curve “3-2 or 032 -3-2 ??