Problem #2: Let X be a random variable with a mean of 85. Find the value...
2. Suppose X is a normally distributed random variable with a mean of 85 and a standard deviation of 5. Obtain the following probabilities. (a) P(80 < X < 86.5). [2 marks] (b) P(X> 76). [2 marks] (c) P(X< 87.8). [3 marks] (d) Find b such that P(X<b) = 0.7704 [3 marks]
6.33 Let x be a continuous random variable that is normally distributed with a mean of 25 and a standard deviation of 6. Find the probability that x assumes a value a. between 28 and 34 b. between 20 and 35 6.34 Let x be a continuous random variable that has a normal distribution with a mean of 30 and a stan- dard deviation of 2. Find the probability that x assumes a value a. between 29 and 35 b....
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?
Assume the random variable x is normally distributed with mean p= 85 and standard deviation o=5. Find the indicated probability. P(x<79) P(x < 79) =(Round to four decimal places as needed.)
Let a random variable X be uniformly distributed between −1 and 2. Let another random variable Y be normally distributed with mean −8 and standard deviation 3. Also, let V = 22+X and W = 13+X −2Y . (a) Is X discrete or continuous? Draw and explain. (b) Is Y discrete or continuous? Draw and explain. (c) Find the following probabilities. (i) The probability that X is less than 2. (ii) P(X > 0) (iii) P(Y > −11) (iv) P...
Let x be a continuous random variable that is normally distributed with a mean of 36 and a standard deviation of 5. Find the value of the random variable x which is at the 80th percentile. Round to four decimal places.
Assume the random variable x is normally distributed with mean u = 85 and standard deviation a = 5. Find the indicated probability. P(73<x<77) P(73<x<77) - (Round to four decimal places as needed.)
Assume the random variable x is normally distributed with mean μ=85 and standard deviation σ=4. Find the indicated probability.P(x<81)
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 <>) =
Let X be a continuous random variable that is normally distributed with a mean of 65 and a standard deviation of 15. Find the probability that X assumes a value less than 46. Round your answer to four decimal places. P=???