The Normal distribution with mean µ = 499.6 and standard deviation o = 10.4 is a good description of the total score on theMedical College Admission Test, MCAT. This is a continuous probability model for the score of a randomly chosen student. Callthe score of a randomly chosen student X for short.(a) Which of the choices is a correct way to write "the student chosen has a score of 510 or higher" in terms of X.{X > 510}O {X < 510}{X > 510}{510 > X}O {X < 510}(b) Use Table A to find the probability of the event "the student chosen has a score of 510 or higher." (Enter your answer to fourdecimal places.)P (the student chosen has a score of 510 or higher) =

Answered: Image /qna-images/answer/50085abd-07df-41a9-94be-a208effceab1.jpg

Answered: The Normal distribution with mean µ =…

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 adults have IQ scores that are normally distributed with a mean of μ=100 and a standard deviation σ=20. Find the probability that a randomly selected adult has an IQ less than 128.
The random variable X is exponentially distributed, where X represents the waiting time to see a shooting star during a meteor shower. If X has an average value of 69 seconds, what are the parameters of the exponential distribution? Select the correct answer below: λ=69, μ=169, σ=169 λ=169, μ=69, σ=69 λ=269, μ=69, σ=692 λ=69, μ=69, σ=169 λ=692, μ=69, σ=169
Assume that adults have IQ scores that are normally distributed with a mean of μ=100 and a standard deviation σ=20. Find the probability that a randomly selected adult has an IQ less than 132. The probability that a randomly selected adult has an IQ less than 132 is
Suppose the mean and standard deviation of the GPAs at school are Xbar = 1.487; and s = 1.332Claire's GPA has a z-score of -2.320. What is Claire's GPA?(Leave your answer to 2 decimals: ex: 1.23)
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The number of days between precipitation events during the fall season is modeled by an exponential distribution with mean 9.7. Compute the probability that the next inter-arrival time for precipitation events is more than 7 days. Use three decimal place accuracy.
Suppose the mean and standard deviation of the GPAs at Tulane are Xbar = 2.899; and s = -0.753Charlie's GPA has a z-score of -0.140. What is Charlie's GPA?(Leave your answer to 2 decimals: ex: 1.23)
The length of eels (in cm) in a river may be assumed to be normally distributed with a mean of µ = 42 and a standard deviation of o = 6. An angler catches an eel from a river. Let: X = the length (in cm) of an eel a) If the normal length of eels is between 30 cm and 45 cm, what percentage of eels fall within this normal range? Round your answer to 2 decimal places. b) What is the probability that an eel is at least 51 cmin length? Round your answer to 4 decimal places. c) The middle 50% of the lengths (in cm) of the eels are between and Round your answers to 2 decimal places d) Due to the symmetry of the normal distribution we know that DIV 20 - DIV -
A bone mineral density test is used to identify a bone disease. The result of a bone density test is commonly measured as a z-score. If the mean bone density test score is found for 9 randomly selected subjects, find the probability that the mean is greater than 0.50. (Round your answer to four decimal points and write in 0.XXXX format.)
A recent survey of 1040 U.S. adults selected at random showed that 634 consider the occupation of firefighter to have very great prestige. Estimate the probability (to the nearest hundredth) that a U.S. adult selected at random thinks the occupation of firefighter has very great prestige.Step 1Recall that the probability of an event based on relative frequency uses the formulaprobability of event = relative frequency = fn,where f is the frequency of the event occurrence in a sample of n observations. A total of 1040 people were surveyed and 634 considered the occupation of firefighter to have very great prestige. Therefore, the sample size is n = . The event of interest is that a U.S. adult selected at random thinks the occupation of firefighter has very great prestige. Therefore, the frequency f is equal to the number of adults who the occupation of firefighter has very great prestige, so f = (0.6096 answer is incorrect.) .
The type of battery in Jim's laptop has a lifetime (in years) which follows a Weibull distribution with parameters a = 2 and B = 4. The type of battery in Jim's tablet has a lifetime (in years) which follows an exponential distribution with parameter A = 1/4. Find the probability that the lifetime of his laptop battery is less than 2.5 years and that the lifetime of his tablet battery is less than 3.2 years. (Answer as a decimal number, and round to 3 decimal places).

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