Let Y be a normally distributed random variable measuring the average daily energy dissipation of an engine. Given that Y has mean µ = 2 and P(Y ≤ 1) = 0.24, then determine the probability that at least 3 units of energy are dissipated in a chosen day. (Hint: use symmetry of the normal distribution about the mean)
Let Y be a normally distributed random variable measuring the average daily energy dissipation of an...
A random variable X is normally distributed. Let F (x) be the CDF of X. Observations of a very large sample size shows that F (20.21) = 0.025 and F(41.63) = 0.975. Determine the following probability: P (X < 35.00). Hint: for a normal distribution, about 95% of the scores falls within plus or minus two standard deviations from the mean.
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 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 29 and 36 b) between 22 and 35 Let x be a continuous random variable that is normally distributed with a mean of 80 and a standard deviation of 12. Find the probability that x assumes a value a) greater than 69 b) less than 73 c) greater...
Let x be a continuous random variable that is normally distributed with a mean of 36 and a standard deviation of 5. Find the probability the x is less than 38. Round to four decimal places.
Assume the random variable X is normally distributed with mean is 52 and the standard deviation is 10. Compute the probability. Be sure to draw a normal curve with the area corresponding to the probability shaded. P(X>42) Use the standard normal distribution table.
2. A random variable is normally distributed s normally distributed with a mean of u = 50 and a standard deviation of o = 5. a. Sketch a normal curve for the probability density 50, 55, 60, and 65. of the probability density function. Label the horizontal axis with values of 35, 40, 45, b. What is the probability that the rando Tobability that the random variable will assume a value between 45 and 55? Empirical Rule. c. What is...
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=???
27. The daily high temperature for Chattanooga is normally distributed with mean 79 and standard deviation 4. Find the probability that a randomly chosen temperature is between 70 and 75.:* Oa. 0.0122 Ob. 0.1464 Oc. 0.1587 Od. 0.8413 28. At a certain school, 41% of the students play soccer, 30% play volleyball, and 14% play both soccer and volleyball. If a student is chosen at random, find the probability that he/she plays neither soccer nor volleyball.:* O a. 0.71 Ob....
Suppose that the average number of Facebook friends users have is normally distributed with a mean of 146 and a standard deviation of about 55. Assume seven individuals are randomly chosen. Answer the following questions. Rourd all answers to 4 decimal places where possible. a. What is the distribution of 2? 655 b. For the group of 7, find the probability that the average number of friends is more than 158. c. Find the third quartile for the average number...
Assume the random variable x is normally distributed with mean y = 50 and standard deviation o=7. Find the indicated probability P(x > 40) P(x >40) - (Round to four decimal places as needed.) Assume the random variable x is normally distributed with mean = 88 and standard deviation o = 4. Find the indicated probability P(76<x<85) P(76<x<85)= (Round to four decimal places as needed.) Assume a member is selected at random from the population represented by the graph. Find...