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Probabilities. For all questions, include the probability statement, a sketch e solution rounded to four decimal...
do all of part b please :)
Part B: Normal Distribution Probabilities. For all questions, include the probability statement, a sketch, the calculator syntax, and the solution rounded to four decimal places. Ex.) Find the probability that a z-score is less than 2.02. 9.) Assume that annual pear consumption is Ples 2.02) normally distributed with a mean of 8.6 lbs. and standard deviation of 2.2 lbs. Find the probability -0.9783 that annual pear consumption is less than 11 lbs. 2.02...
Find the specified probability, from a table of Normal probabilities. Assume that the necessary conditions and assumptions are met. The annual precipitation amounts in a certain mountain range are normally distributed with a mean of 77 inches, and a standard deviation of 10 inches. What is the probability that the mean annual precipitation during 25 randomly picked years will be less than 79.8 inches?
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....
1. Weights of Pikachu’s in the wild are normally distributed with a mean of 13.2 lbs and a standard deviation of 0.5 lbs. a. Find the precentage of Pikachu’s in the wild that weigh more than 12 lbs. b. Find the percentage of Pikachu’s in the wild that weigh between 13 and 14.5 lbs. c. Find the percentage of Pikachu’s in the wild that weigh less than 14 lbs. d. Assume a sample of 45 Pikachu’s will be captured, have...
Assume that a continuous random variable 𝑋 that is normally distributed with a mean of 100 and a standard deviation of 16. Find the probability that 𝑋 being a) greater than 50, b)less than 30
5. Assume the readings on thermometers are normally distributed with a mean of 0°C and a standard deviation of 1.00°C. Find the probability that a randomly selected thermometer reads between −2.26 and −1.53 and draw a sketch of the region. 6. Assume that a randomly selected subject is given a bone density test. Those test scores are normally distributed with a mean of 0 and a standard deviation of 1. Draw a graph and find the probability of a bone...
Question 10: Probability Suppose that the weights of a certain type of bear are normally distributed with mean 324 lbs and standard deviation 25 lbs. If three such bears are randomly selected, find the probability that exactly one of them has a weight that is less than 342 lbs. Give answer to 4 decimal places
1) The lengths of pregnancies of humans are normally distributed with a mean of 268 days and a standard deviation of 15 days. Find the probability of a pregnancy lasting less than 250 days. 2) The lengths of pregnancies of humans are normally distributed with a mean of 268 days and a standard deviation of 15 days. Find the probability of a pregnancy lasting more than 300 days. 3) An airline knows from experience that the distribution of the number...
Answer and sketch questions 1 and 2
1. a) A random sample of size 36 is selected from a normally distributed population with a mean of 16 and a standard deviation of 3. What is the probability that the sample mean is somewhere between 15.8 and 16.2? b). A normally distributed population has a mean of 16 and a standard deviation of 3. What is the probability that a single event is somewhere between 15.8 and 16.2? 2. A bank...