Assume that the random vanable X is normally distributed, with mean = 60 and standard deviation o=16. Compute the probability P(X<80) O 0.8944 0.1056 0.8849 O 0.9015
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- Assume that the readings at freezing on a bundle of thermometers are normally distributed with a mean of 0°C and a standard deviation of 1.00°C. A single thermometer is randomly selected and tested. Find the probability of obtaining a reading between -2.828°C and 0.913°C. P( – 2.828 < Z < 0.913)Suppose that X follows a binomial distribution with n = 100 and p = 0.1. If F(x) is the cumulative distribution function of the Standard Normal distribution. Then using the Normal approximation, the probability P(X = 16) is obtained by O a. F(2.17) - F(1.83) O b. F(1.83) - F(2.17) O c. F(16.5) + F(15.5) O d. F(17.0) - F(15.0)Let XX represent the full height of a certain species of tree. Assume that XX has a normal probability distribution with μ=8.2ft and σ=38.8ftYou intend to measure a random sample of n=83 trees What is the mean of the distribution of sample means? What is the standard deviation of the distribution of sample means (i.e., the standard error in estimating the mean)? What is the probability that the average height of a random sample of 83 trees is larger than 9.4? Round answer to 4 decimal places.
- Assume that the random variable X is normally distributed, with mean p1 = 70 and standard deviation o= 12. Compute the probability P(X< 85). 0000 0.1056 0.9015 0.8849 0.8944 CAssume that the random variable X is normally distributed, with mean = 90 and standard deviation o=8. Compute the probability P(X<100). O 0.9015 0.8944 O 0.1056 0.8849Let x denote the IQ of an individual selected at random from a certain population. The value of x must be a whole number. Suppose that the distribution of x can be approximated by a normal distribution with mean value 100 and standard deviation 15. Approximate the following probabilities. (b) P(x ≤ 130) (c) P(x < 130) (Hint: x < 130 is the same as x ≤ 129.)
- Assume the random variable x is normally distributed with mean µ = 88 and standard deviation o = 4. Find the indicated probability. P(78Assume that the readings at freezing on a bundle of thermometers are normally distributed with a mean of 0°C and a standard deviation of 1.00°C. A single thermometer is randomly selected and tested. Find the probability of obtaining a reading greater than 0.514°C. P(Z > 0.514)Assume the random variable x is normally distributed with mean µ = 87 and standard deviation o = 5. Find the indicated probability. P(70A random variable follows the continuous uniform distribution between 10 and 210. a. Calculate the following probabilities for the distribution. 1. P(75 sxs 85) 2. P(40Assume that the readings at freezing on a bundle of thermometers are normally distributed with a mean of 0°C and a standard deviation of 1.00°C. A single thermometer is randomly selected and tested. Find the probability of obtaining a reading greater than 1.616°C.P(Z>1.616)2. Use the normal approximation to the binomial with n=10 and p=0.5 to find the probability P(X27)Recommended textbooks for youA First Course in Probability (10th Edition)ProbabilityISBN:9780134753119Author:Sheldon RossPublisher:PEARSON
A First Course in Probability (10th Edition)ProbabilityISBN:9780134753119Author:Sheldon RossPublisher:PEARSON