The size of an ear of wheat in a field is modeled by a random variable X with normal distribution N(15,6). What is the probability for an ear to be greater than 16cm? O 0.5675 ) 0.5636 O 0.4325 O 0.5

Q: Suppose the random variable Z follows a standard normal distribution. Then the probability is 0.67…

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Q: Find the probability using the normal distribution: P(z> 1.50).

A: We will use Standard Normal table to calculate the given probability.

Q: What is the probability of obtaining a score of 75 or higher from this normal distribution with a u…

A: The mean is 50 and the standard deviation is 10.

Q: Given that z is a standard normal random variable, find z for each situation.a. The area to the…

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Q: The uniform distribution of a random variable X is given in the figure below. 1 2 From the figure,…

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Q: In a popular shopping centre, the waiting time for an ABSA ATM machine is found to be uniformly…

A: The PDF is given by f(x)=1b-a , here a=1,b=5 so it follows: f(x)=15-1=14,1≤x≤50otherwise

Q: Suppose the random variable Z follows a standard normal distribution. Then the value of…

A: Given that: P (-2.21 < Z < -1.39)

Q: d. Find E(−4x + 16). e. Find V(−6x)

A: Given that, The random variable X denotes the number of tails in all five coins. There are 32…

Q: Suppose the random variable Z follows a standard normal distribution. Then the probability is 0.20…

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Q: Given that z is a standard normal random variable, find z for each situation.a. The area to the left…

A: a) Area to left of z is 0.2119i.e.1 P(z<7) = 0.2119                        7=!From Normal…

Q: For families with 5 children, let X be the number of children with Genetic Condition B. Can the…

A: Conditions for the discrete probability distribution: The sum of all probability is equal to 1.…

Q: Is the random variable given in the accompanying table discrete or continuous? Explain. Number of…

A: Here data giving that number of girls and its probabilities.

Q: The Department of Animal Regulations released information on pet ownership for the population…

A: It is given that the probability distribution for the number of licensed dogs in a randomly selected…

Q: The uniform distribution of a random variable X is given in the figure below. 0 2 1. X From the…

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Q: Suppose that the daily intake an adult follows a uniform distribution from 40 to 65 micrograms.…

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Q: The time X (in minutes) for a lab assistant to prepare the equipment for a certain experiment is…

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Q: Given that z is a standard normal random variable, what is the probability that -2.51 SS-1.532…

A: Given Data: z represents the standard normal distribution   To Find: P(-2.51<z<-1.53)

Q: Given that z is a standard normal random variable, find z for each situation.a. The area to the left…

A: Solution: a. From the given information, By using excel By comparing (1) and (2) z=1.96.

Q: Given that z is a standard normal random variable, find z for each situation.a. The area to the left…

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Q: The probability distribution of random variable X is given below: P(x) 0.4 0.6 A second random…

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Q: Let X be a random variable with a uniform distribution. If X can be any number from 0 to 25, what is…

A: Answer - Let X be a random variable with a uniform distribution. If X can be any number from 0 to…

Q: ta were collected from a survey given to graduating college seniors on the number of times they had…

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Q: Suppose the random variable Z follows a standard normal distribution. Then the value of P(-2.21 <…

A: The Random variable Z follows a standard normal distribution We need to calculate

Q: Find the probability that in 200 tosses of a fair die, we will obtain at most 30 fives. Use the…

A: Binomial approximation: The normal distribution can be used as an approximation to the binomial…

Q: If z is a standard normal variable, find the probability P(- 0.73<z<2.27). Round to four decimal…

A: Given: z is a standard normal variable. To find: P (-0.73&lt;z&lt;2.27) Thus, P…

Q: The sample size n, probability of success p, and probability of failure q are given for a binomial…

A:

Q: The uniform distribution of a random variable X is given in the figure below. 1 2 From the figure,…

A: Given,A random varible X~U(0, 2)f(x)=12   ; 0≤x≤2

Q: Given that z is a standard normal random variable, find z for each situation.a. The area to the left…

A: Note: Thank you for the question. Since multiple subparts are posted, according to our policy, we…

Q: Let Z be a random variable with the standard normal distribution. Find P(-1.35 ≤ Z≤ 2.15) P(0.55 ≤Z≤…

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Q: The uniform distribution of a random variable X is given in the figure below. 0 1 2 From the figure,…

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Q: The random variable ?, which is the number of telephones coming to a telephone exchange in a…

A: Part (a) Let X be a random variable denotes the number of telephone calls coming to a telephone…

Q: Assume Z is a random variable with a standard normal distribution and b is a positive number. If P(Z…

A: Given,P(Z&gt;b)=0.2

Q: 5. For a standard normal distribution, what is the probability that z is greater than -2.57? A) .5…

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Q: Given a random variable X having a normal distribution with µ=62 and o=15, find the probability that…

A: Random variable X is normally distributed with a mean of 62 and a standard deviation of 15.

Q: Given z is the standard normal random variable, find c > 0 such that P(-c<z < c) = 0.135

A: given z is the standard normal random variable. z~N(0,1) find c=? s.t.  P(-c&lt;z&lt;c)=0.135    ,…

Q: Estimate the indicated probability by using the normal distribution as an approximation to…

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Q: f Z is a standard normal random variable, What is E[|z|]? Answer using four decimal places.

A: Z is a standard normal variable Z~N(0,1)   E(Z)=∫-∞∞z·12π e-z22dz=∫-∞0-z·12π e-z22dz+∫0∞z·12π…

Q: The number of telephone calls that arrive at a phone exchange is often modeled as a Poisson random…

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Q: Suppose the random variable Z follows a standard normal distribution. Then the probability is 0.67…

A: Correct answer is (C) -0.44

Q: 2. Find the probabilities for each, using the standard normal distribution. a. P (0 2.83)

A: We know that,  Z from the standard normal distribution with mean= 0 and standard deviation= 1 i.e,…

Q: The uniform distribution of a random variable X is given in the figure below. 0 1 2 X From the…

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Q: The random variable X, representing the number of accidents in a certain intersection in a week, has…

A: Probability distribution table is given.

Q: The sample size n, probability of success p, and probability of failure q are given for a binomial…

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Q: Given SAT scores from a normal distribution, with u = 550, and o = 95, random sample of n=100; What…

A: We have given that Mean=μ=550, Standard deviation=σ=95 , n=100

Q: Given that z is a standard normal random variable, find z for each situation.a. The area to the left…

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Q: Twenty percent of males over 45 smoke. Use a Normal approxima- tion to the Binomial distribution to…

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Q: Can the normal distribution be used to approximate the random variable x? O A. No, because nq < 5. O…

A: Let x follows binomial distribution with parameter n and p                i.e., x ~ Bin(n ,p) But a…

Q: The sample size n, probability of success p, and probability of failure q are given for a binomial…

A: Normal approximation to the binomial: From the given information, sample size, n = 20. The…

Q: Let Z be a random variable with the standard normal distribution. Find P(-1.35 ≤ Z≤ 2.15) P(0.55 ≤Z≤…

A: We have to find value of standard normal table

Q: For a standard normal random variable, find the probability that z- exceeds the value -1.65.

A:

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.