Assume the random variable x is normally distributed with mean μ = 88 and standard deviation o=5. Find the indicated probability. P(x<78) P(x<78) = ... (Round to four decimal places as needed.)

Assume that x has a normal distribution with the specified mean and standard deviation. Find the indicated probability. (Round your answer to four decimal places.)   μ = 52; σ = 16 P(40 ≤ x ≤ 47) =

The variable Z is normally distributed with mean 0 and standard deviation 1. Find the value a such that: The probability that the variable is greater than a is 0.56, that is, P(Z > a) = 0.56 Select one: a = 0.71 a = 0.29 a = -0.44 a = -0.15 a = 0.44

Assume the random variable X is normally distributed with mean μ=50 and standard deviation σ=7. Compute the probability. Be sure to draw a normal curve with the area corresponding to the probability shaded.   P(X>36)     Which of the following normal curves corresponds to P(X>36)​?     A.                 36 50         A normal curve has a horizontal axis with two labeled coordinates, 36 and 50. The curve's peak is near the top of the graph at horizontal coordinate 50. Two vertical line segments run from the horizontal axis to the curve at horizontal coordinates 36 and 50. The area under the curve between the vertical line segments is shaded.   B.                 36 50         A normal curve has a horizontal axis with two labeled coordinates, 36 and 50. The curve's peak is near the top of the graph at horizontal coordinate 50. Two vertical line segments run from the horizontal axis to the curve at horizontal coordinates 36 and 50. The area…