Suppose that y is a random variable having a normal distribution wit mean equal to 250 and a standard deviation equal to 10. show that the event y < 260 has the same probability as z < 1.where z denote the random variable  with standard normal distribution

Q: Assume that females have pulse rates that are normally distributed with a mean of μ=75.0 beats per…

A: We are given that females have pulse rates that are normally distributed with a mean of μ=75.0 and a…

Q: Suppose that the speed at which cars go on the freeway is normally distributed with mean 77 mph and…

A: Givenμ=77 and σ=8 Let X be the speed of the cars.       To calculate the probabilities, find the…

Q: Suppose that the speed at which cars go on the freeway is normally distributed with mean 73 mph and…

A:

Q: In the United States, males between the ages of 40 and 49 eat on average 103.1 g of fat every day…

A: X follows a Normal distribution with mean = 103.1 and S.D = 4.32 Then z=(x-mean)/SD =…

Q: Suppose that the duration of a particular type of criminal trial is known to be normally distributed…

A: From the given information, let X be the number of days for a randomly selected criminal trial. Mean…

Q: Suppose that the systolic blood pressure of healthy adults is normally distributed with mean u mmHg…

A: The Z-score of a random variable X is defined as follows: Z = (X – µ)/σ. Here, µ and σ are the mean…

Q: Assume that adults have IQ scores that are normally distributed with a mean of mu equals 105   and…

A:

Q: Suppose the length of time X (in hours) it takes for pizza to be delivered by Micelli's Pizza…

A: 0.5 hours = 30 minutes 0.1 hours = 6 minutes The corresponding z-value needed to be computed is:

Q: The length of a human pregnancies is approximately normal distributed with mean m equals to 266 days…

A: Note:- As per our policy, we answer only 3 sub-parts at a time. Please make a new request for the…

Q: Suppose that an airline uses a seat width of 16.3in. Assume men have hip breadths that are normally…

A: Given,mean (μ)=14.5standard deviation(σ)=0.9sample mean (n)=120

Q: random variable X has a mean value of 20 with a standard deviation of 4.  If we obtain a random…

A: The probability that the sample average of X is at most 19 = P(X&lt;=19) = 0.0228

Q: Suppose that the speed at which cars go on the freeway is normally distributed with mean 68 mph and…

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Q: Suppose a random sample of n = 25 observations is selected from a population that is normally…

A:

Q: According to a study, the length of pregnancy of a randomly selected female has an unknown…

A:

Q: The lifetimes of a certain electronic component are known to be normally distributed with a mean of…

A: Given: The data of the lifetimes of electronic component is normally distributed. The average…

Q: Suppose that the time it takes a student to complete an exam is a random variable that has normal…

A: Given, normal distribution with a mean of 75 minutes and standard deviation of 10 minutes To find:…

Q: Suppose that the test score of a student taking the final of a probability course is a random…

A:

Q: a. If a male passenger is randomly​ selected, find the probability that he can fit through the…

A: u = 69 s = 2.8

Q: Suppose that the amount of time that students spend studying in the library in one sitting is…

A: Since you have posted a question with multiple sub-parts, we will solve first three sub-parts for…

Q: In the United States, males between the ages of 40 and 49 eat on average 103.1 g of fat every day…

A:

Q: Assume the amount of weight is normally distributed with a mean = 1.2 kg and standard deviation of…

A:

Q: Suppose that the duration of a particular type of criminal trial is known to be normally distributed…

A: Hey there! Thank you for posting the question. Since your question has more than 3 parts, we are…

Q: he mean daily production of a herd of cows is assumed to be normally distributed with a mean of 39…

A: Given data,μ=39σ=2.4

Q: Suppose that the duration of a particular type of criminal trial is known to be normally distributed…

A: Given: mean = 22 days standard deviation = 6 days

Q: The mean incubation time for a type of fertilized egg kept at a certain temperature is 25 days.…

A: Here we are given that, The probability that a randomly selected fertilized egg hatches in less than…

Q: Suppose that the duration of a particular type of criminal trial is known to be normally distributed…

A: We have given that,  X are normally distributed with mean (mu) = 15 and standard deviation (sigma) =…

Q: he average lifetime of the bulbs produced in factory A is 2500 hours and their standard deviation is…

A: Given : Factory A : X1 = 2500σ1 = 250 Factory B : X2 = 2100σ2 = 150

Q: Suppose an elevator is the maximum capacity of 16 passengers with the total weight up to 2500…

A:

Q: minutes late.  b)If the departure time is normally distributed with mean at

A: Given Data Population Mean,μ = 9.0 Population Standard Deviation,σ = 5.0

Q: Assume that females have pulse rates that are normally distributed with a mean of μ=75.0 beats per…

A: Central Limit Theorem for mean: If a random sample of size n is taken from a population having mean…

Q: A normally distributed population has a mean of 475 and a standard deviation of 80. a. Determine the…

A: The random variable is x. It follows approximately normal distribution. We have to use standard…

Q: Assume that men's weights are normally distributed with mean 182.9 pounds and standard deviation…

A: Solution

Q: Suppose that the duration of a particular type of criminal trial is known to be normally distributed…

A: Given data: Mean =19 Standard deviation  = 6 X be the number of days for a randomly selected trial

Q: Suppose that the speed at which cars go on the freeway is normally distributed with mean 76 mph and…

A: Let us define X as the speed at which cars go on the freeway is normally distributed with mean 76…

Q: one car is randomly chosen, find the probability that it is traveling more than 65 mph.  If one of…

A: From provided information, the speed at which cars go on freeway is normally distributed with mean…

Q: Suppose that the speed at which cars go on the freeway is normally distributed with mean 79 mph and…

A: Given :μ=79σ=9X~N(μ=79,σ2=(9)2)

Q: Suppose that the time it takes a student to complete an exam is a random variable that has normal…

A:

Q: Suppose that the amount of time that shoppers wait in line to enter a store is normally distributed…

A: From the given information,   Mean = 70 Standard deviation = 5 Sample size = 25

Q: Suppose that the speed at which cars go on the freeway is normally distributed with mean 69 mph and…

A: Z-scores are the scores associated with the standard normal distribution.  Given a random variable X…

Q: Suppose that the speed at which cars go on the freeway is normally distributed with mean 69 mph and…

A: It is given that the speed of the cars follows normal distribution with mean 69 mph and standard…

Q: Assume that females have pulse rates that are normally distributed with a mean of μ=73.0beats per…

A: Given : Assume that females have pulse rates that are normally distributed with a mean of…

Q: Suppose a random sample of n = 25 observations is selected from a population that is normally…

A:

Q: Assume that females have pulse rates that are normally distributed with a mean of 74.0 beats per…

A: Given information- Population mean, µ = 74 bpm Population standard deviation, σ = 12.5 bpm Let, X be…

Q: Assume that the readings at freezing on a batch of thermometers are normally distributed with a mean…

A: Given Information:  Mean (u) = 0 degrees Standard deviation = 1.00 Sample mean (x) = -1.388

Q: that the people’s ages at the onset of a certain disease have a normal distribution with a mean of…

A: Given: μ=60, σ=5 The corresponding z-value needed to be computed is: The probability that an…

Q: Suppose that the speed at which cars go on the freeway is normally distributed with mean 73 mph and…

A: Let X denote the speed for a randomly selected car and it follows normal distribution with mean μ=73…

Q: The mean score for freshmen on an aptitude test at a certain college is 540, with a standard…

A: We want to find the probability by using standard normal distribution table

Q: Suppose the length of time X (in hours) it takes for pizza to be delivered by Micelli's Pizza…

A: Note: As per the guidelines, we are only allowed to solve 1 question, please post the other…

Q: Suppose that the speed at which cars go on the freeway is normally distributed with mean 75 mph and…

A: Given X is normal Distributed with mean µ = 75.0 and standard deviation σ = 8.0 now will using…

Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.