If the random variable z has a standard normal distribution with symbol N(0,1), then the value of a for the following probability: P(-00 < z < a) = 41% is:

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

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Q: find the probabilities for each, using the standard normal distribution. P(0 < z < 0.95)

A:

Q: Suppose the random variable Z follows a standard normal distribution. Then the value of P (Z>-1.00)…

A: Here Z follow the standard Normal distribution We want to find the probability that P ( Z&gt; -1.0 )…

Q: Find the indicated probability using the standard normal distribution. P(-3.02 <z< 0)

A: Standard Normal Distribution: A random variable z is said to be a standard normal variable if z…

Q: Assume that ? is a random variable has a gamma distribution with (alpha) = 3 and (beta) = 10. A)…

A: Here alpha = 3 , beta = 10 Mean = 3×10 = 30 Standard deviation = 10 √3 = 17.32

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

A: Given that: P (-2.21 &lt; Z &lt; -1.39)

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

A:

Q: Let z be a random variable with a standard normal distribution. find the indicated probab P(-0.25 <…

A: P(-0.25≤z≤0.55)=?

Q: Find the probabilities for each using the standard normal distribution. P(z< -1.8)

A: Required probability is P(Z&lt;-1.8)

Q: If Z is a random variable from a standard normal distribution and if P(Z<a)=0.42, then P(Z<-a)=0.58.…

A: If Z is a random variable from a standard normal distribution and if P(Z&lt;a)=0.42, then…

Q: If Z is a random variable from a standard normal distribution and if P(Z < a) = 0.72, then %3D P(Z <…

A: Therefore,

Q: Find the value of Z from the standard normal table such that the probability between Z and –Z is…

A: here given ,  probability between Z and –Z is 0.9802  so p(-Z &lt;z &lt; Z ) = 0.9802

Q: The probability distribution of random variable X, that represent the number of defects per 20…

A: Here, x P(x) x.P(x) x2 x2.P(x) 0 0.39 0 0 0 1 0.32 0.32 1 0.32 2 0.23 0.46 4 0.92 3 0.05…

Q: If Z is a random variable from a standard normal distribution and if P(Z < a) = 0.7, then P(Z <= a)…

A:

Q: Let y be a random variable having a normal distribution with a mean equal to 250 and a standard…

A: Population mean (mu) = 250Standard deviation (sigma) = 10a) show that the event y&lt; 260 has the…

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

A:

Q: The total area of a normal probability distribution is dependent on a value of z approximated by the…

A: Normal distribution is a distribution whose curve is bell shaped and the distribution is symmetric…

Q: Find the probability Pr⁡( Z ≤ 2.054 ) using the Standard Normal distribution (μ=0, σ=1).

A: Required probability is P(Z≤2.054)

Q: Suppose Z is a random variable that follows the standard normal distribution. d) Find z0.06. e) Find…

A:

Q: 4. For a standard normal distribution, the probability of obtaining az value of less than 1.6 is…

A: GivenThe probability of obtaining a z-value of less than 1.6 is

Q: P(-1.88 < Z < 0.04)

A: Z values are the standardized scores of the normal distribution, which follow the standard normal…

Q: 5. For a standard normal distribution, what is the probability that z is less than 1.25? A) 0.8944…

A: (5)  Let Z be the random variable from standard normal distribution with mean = 0 and standard…

Q: For a standard normal distribution (u = 0 and o = 1),find the following probability, and please show…

A: From the provided information, Mean (µ) = 0 Standard deviation (σ) = 1

Q: Let z be the standard normal random variable (with mean 0 and standard deviation 1). What is the…

A: Mean = 0 Standard deviation = 1

Q: Let z be a random variable with a standard normal distribution. Find the indicated probability…

A: we have to find P(z ≤ 1.5)....

Q: Suppose that a random variable Z has a standard normal distribution. Find a such that P(Z > a) =…

A: Note: Total area under the normal curve is 1. Area to the left of the normal curve = 1-0.229 =…

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: i. If a pair of random variables X and Y have a Bivariate Normal distribution, with u 9, p-5, G1 -…

A:

Q: If Z is a random variable from a standard normal distribution and if P(Z> c) = 0.22, then P(Z < -C)…

A: Z is a random variable from a standard normal distribution.

Q: For Z, a random variable distributed like a standard normal, P(Z < 0.29) is 0.0793 0.5793 0.1141…

A: Given P(Z&lt;0.29)=?

Q: A civil engineering model for W, the weight (in units of 1000 pounds) that a span of a bridge can…

A:

Q: Suppose X is a random variable with standard normal distribution. And P(X>k)=0.8413 Find the value…

A: The random variable X follows standard normal distribution. It is given that, PX&gt;k=0.8413. Now,…

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

A:

Q: The random variable X has a Poisson distribution with a mean value of 10. According to this a) 0087…

A:

Q: Let X be the random variable of the normal distribution with mean (u) and standard .deviation (o) If…

A:

Q: Suppose the random variable Z follows a standard normal distribution. Then the value of P(Z > -1.00)…

A: The z value is -1.00.

Q: X-μ Approximate the probability P(X<7) by the fact that the random variable can be o/√n pproximated…

A: Given population units are 3, 6, 9, 12, 15. μ=sum of…

Q: Suggest any value, Zo, of the standard normal probability distribution (correct to two decimal…

A: Let the value of z0 be 1.23.   a) Then , from the left tailed z-tables,…

Q: A) For a standard normal distribution, the probability of z 0 is B) Given that Z is a standard…

A: Note: Hey there! Thank you for posting the question. For calculating probability, we are considering…

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

A:

Q: For a random variable that us normally distributed with mean equal to 1300 and standard deviation…

A:

Q: 1. Suppose Z represents the standard normal random variable. If a value is selected at random from…

A: Given that  Z represents the standard normal variable. Random value from standard normal…

Q: Find and graph the probability Pr⁡(Z ≤ 2.054) using the standard normal distribution: μ= 0,σ =1.

A: The mean and standard deviation of the standard normal distribution are 0 and 1, respectively.

Q: Suppose the random variable Z follows a standard normal distribution. Then the value of P (Z>-1.00)…

A: The value of P(Z&gt;-1.00) is obtained as given below: P(Z&gt;-1.00)=1-P(Z≤-1)  =1-0.1587 [Using…

Q: For a standard normal distribution, the probability of obtaining a z value between -1.9 to 1.7 is…

A: Either use Z - table or Excel function =NORMSDIST(Z)

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: A continuous random variable x is normally distributed with a mean of 1 and a standard deviation of…

A: Given Mean μ=1, standard deviations σ=0.2  X~N(μ=1, σ=0.2) P(X=0.5)=?

Q: Find the indicated probability using the standard normal distribution.   ​P(- 0.25&lt;z&lt;0​)

A: z-score:Consider the random variable X that follows a distribution with mean µ and the standard…

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

A: Let, X~N(μ,σ), thenZ=X-μσ~N(0,1)

Q: Find the probabilities for each using the standard normal distribution. P( z> 0.56)

A: We have to find P(z &gt; 0.56)