8. (5 points each). If a random variable X is normal with mean u = 95...
A random variable is normally distributed with a mean of u = 90 and a standard deviation of o = 10. (a) The following figure shows that the normal curve almost touches the horizontal axis at three standard deviations below and at three standard deviations above the mean (in this case at 60 and 120). Areas Under the Curve for any Normal Distribution 99.7% 95.4% + 68.3% – pi - 30 -lo u u + lo u + 30 A...
Answer the question for a normal random variable x with mean u and standard deviation o specified below. (Round your answer to four decimal places.) μ = 1.3 and σ = 0.16. Find P(1.00<x< 1.10). P(1.00<x< 1.10) = Answer the question for a normal random variable x with mean u and standard deviation o specified below. (Round your answer to four decimal places.) μ = 1.3 and σ = 0.16. Find P(x >1.35). P(x > 1.35) =
6. Let X be a normal random variable with mean u = 10. What is the standard deviation o if it is known that p (IX – 101 <>) =
of the random variable x. Suppose x is a normally distributed random variable with u = 34 and 0 = 4. Find a value a. P(x 2 Xo)=5 b. P(X<Xo) = .025 c. P(x>x) = 10 d. P(x > Xo) = .95 Click here to view a table of areas under the standardized normal curve. a. Xo = (Round to the nearest hundredth as needed.)
astering Assume the random variable X is normally distributed with mean u 50 and standard deviation a 7. Compute the probability. вгагy P(52 sXs60) udent Services Click the icon to view a table of areas under the normal curve. labus Which of the following normal curves corresponds to P(52 sXs66)? utoring arch 5052 66 5052 66 P(62 sXs66)-(Round to four decimal places as needad.)
Assume the random variable X is normally distributed with mean equal to 50 and standard deviation of 7. Compute the probability. Be sure to draw a normal curve with the area corresponding to the probability shaded. P(35<x<58) Assume the random variable X is normally distributed with mean u = 50 and standard deviation o= 7. Compute the probability. Be sure to draw a normal curve with the area corresponding to the probability shaded. P(35<X<58) Click the icon to view a...
Suppose X is a normal random variable with mean u = 50 and standard deviation o = 11. (a) Compute the z-value corresponding to X = 36. (b) Suppose the area under the standard normal curve to the left of the Z-value found in part (a) is 0.1016. What is the area under the normal curve to the left of X = 36? (c) What is the area under the normal curve to the right of X = 36? (a)...
Let X be a normal random variable with mean 50 and standard deviation 8. Find P(X < 65) P(X < 45) For what value of y is it true that P(X < y) =0.60?
4 Suppose the random variable X follows a normal distribution with mean u = 54and standard deviation o = 10. Calculate each of the following. In each case, round your response to at least 4 decimal places. a) P(X < 42) = Number b) P(X > 61) = Number c) P(49< X < 69) = Number
Assume that the random variable X is normally distributed, with mean u = 44 and standard deviation with the area corresponding to the probability shaded. = 11. Compute the probability. Be sure to draw a normal curve P(X542) Which of the following shaded regions corresponds to PIX S42)? ОА. OB PIX S42)= (Round to four decimal places as needed.)