Let X denote the distance (m) that an animal moves from its birth site to the firstterritorial vacancy it encounters. Suppose that for banner-tailed kangaroo rats,X has an exponential distribution with parameter λ = 0.01337.(a) What is the probability that distance exceeds the mean distance by morethan 2 standard deviations? (Round your answer to four decimal places.)

Answer Given X has exponential distribution with parameter =0.01337

Answered: Let X denote the distance (m) that an…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Assume that females have pulse rates that are normally distributed with a mean of μ=72.0 beats per minute and a standard deviation of σ=12.5 beats per minute. Complete parts (a) through (c) below. If 25 adult females are randomly selected, find the probability that they have pulse rates with a mean between 68 beats per minute and 76 beats per minute
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 density test score greater than 0.33 a. The probability is (Round to four decimal places as needed.)
Let x denote the time taken to run a road race. Suppose x is approximately normally distributed with a mean of 190 minutes and a standard deviation of 21 minutes. If one runner is selected at random, what is the probability that this runner will complete this road race in 224 to 236 minutes? Round your answer to four decimal places. i
For the past few month, my husband and I have been visting preschools in Camarillo for our 3-year-old daughter. The annual cost of preschool in Camarillo is assumed to be normally distributed with a mean of $7,508, and standard deviation of $2,071. Let X be the annual tuition of a random selected preschool in Camarillo. Please show the following answers to 4 decimal places. If a Camarillo preschool is randomly chosen, find the probability that its annual tuition is beyond $5,437.
The percent of fat calories that a person consumes each day is normally distributed with a mean of about 35 and a standard deviation of about ten. Suppose that 9 individuals are randomly chosen. Let X = average percent of fat calories. For the group of 9, find the probability that the average percent of fat calories consumed is more than six. (Round your answer to four decimal places.)
The level of nitrogen oxides (NOX) and nonmethane organic gas (NMOG) in the exhaust over the useful life (150,000 miles of driving) of cars of a particular model varies Normally with mean 90 mg/mi and standard deviation of 4 mg/mi. A company has 25 cars of this model in its fleet. Find the level L such that the probability that the average NOX + NMOG level bar x for the fleet greater than L is only 0.03? Round final answer to three decimals.
inferential statistics. Through the normal curve, the inferences that we make regarding a population can be visualized. LESSON 1 UNDERSTANDING THE NORMAL CURVE DISTRIBUTION Les us check your understanding! ENTRY CARD TRUE or FALSE Statement Determine whether the statement True False 1. The areas under a probability distribution correspond to the probabilities of a random variable X. 2. A probability distribution is generated y frequencies. 3. The areas under the curve corresponds to all probabilities for X 4. Under the curve, there is no area over a point. 5. The probability associated with a particular value of X is 0. 6. The area under the curve between two points a and b is the probability that X assumes a value between a and b. 7. In a probability distribution, the total area is 100.
Assume that adults have 1Q scores that are normally distributed with a mean of 103.1 and a standard deviation of 24.4. Find the probability that a randomly selected adult has an IQ greater than 131.3. (Hint: Drawa graph.) The probability that a randomly selected adult from this group has an IQ greater than 131.3 is (Round to four decimal places as needed.)
Assume that a randomly selected subject is given a bone density test. These test scores are normally distributed with a mean of 0 and a standard deviation of 1. Find the probability that a given score is less than -0.71.
Let x be a continuous random variable that is normally distributed with a mean of 123.5 and a standard deviation of 12.3. FInd the probability that x assumes a value between 97.9 and 113.2.
Assume that adults have IQ scores that are normally distributed with a mean of 104.7 and a standard deviation of 24.1. Find the probability that a randomly selected adult has an IQ greater than 137.1. (Hint: Draw a graph.) The probability that a randomly selected adult from this group has an IQ greater than 137.1 is (Round to four decimal places as needed.)
A pizza company advertises that it puts 0.5 pounds of real mozzarella cheese on its medium pizzas. Suppose that the amount of cheese on a randomly selected medium pizza is normally distributed with a mean value of 0.5 pounds and a standard deviation of 0.005 pounds. (Let y = the amount of cheese on a medium pizza. Round the answers to three decimal places.) (a) What is the probability that the amount of cheese on a medium pizza is between 0.505 and 0.510 pounds?P(0.505 ≤ y ≤ 0.510) = (b) What is the probability that the amount of cheese on a medium pizza exceeds the mean value by more than 2 standard deviations?P(y > ? + 2?) = (c) What is the probability that four randomly selected medium pizzas all have at least 0.495 pounds of cheese?

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