Find the probability, P(Z > -0.77) for a standard normal variable Z. 20 Find the probability, P(-1.11 < Z < 2.12) for a standard normal variable Z.

Q: Let, X has a normal distribution with a mean of 40 and a standard deviation of 8. The z value for x…

A:

Q: d) Due to the symmetry of the normal distribution we know that P(X > 30) = P(X <

A: Givenμ=42σ=6Let "X"=length(in cm) of an eel

Q: For the standard normal variable Z, find the probability P(Z>2.86)P(Z>2.86) : P(Z>2.86)=

A: Given data for the standard normal variable Z  find the probability p(z&gt;2.86)=?

Q: For the standard normal variable ZZ , find the probability P(0.07<Z<3.52)

A: We will use Excel to find the required probability based on Standard Normal distribution.

Q: X is a random variable of student score approximately normal with mean μ = 60 and a standard…

A:

Q: Z denote a random variable following the standard normal distribution. Pr(Z>1.5) = ?

A: Given  Z be the standard normal distribution with mean 0 and variance 1 Z~ N(0,1) We want to find…

Q: The random variable X has a normal distribution: X ~ Normal(54,8). Find the following: (a) P(X >…

A:

Q: Assume the random variable x is normally distributed with mean μ=88 and standard deviation σ=5. Find…

A:

Q: Find the value of the standard normal random variable given P(z > #) = 0.2073. (Use a table or…

A: The given random variable is a standard normal random variable. The objective is to find out the…

Q: Find the proportion of observation from a normal distribution N(0,1) that satisfies z>-0.52.

A: Given: the proportion of observation from a normal distribution N(0,1) that satisfies z&gt;-0.52

Q: tandard normal variable Z, find the probability P(Z>−0.34)P(Z>-0.34) : P(Z>−0.34)=P(Z>-0.34)=

A: given data,stanadard normal curve X~N(0,1)μ=0σ=1we have  to find out the given probability

Q: 4P2] Let Z be a standard normal variable. Find the following probabilities: 3. P (Z > 2.15) = 4. P…

A:

Q: Assume the random variable X is normally​ distributed, with mean μ=45 and standard deviation σ=8.…

A: Given,μ=45σ=8P(X&lt;x)=13%=0.13x=?

Q: Let X be the scores on an achievement test given to a certain population of students, with the…

A: Population mean μ =500 Population standard deviation =20 Sample size n =25

Q: If the variable Z is normally distributed with mean equal to 0 and standard deviation equal to 1.…

A: Given that Z ~ N (0,1 ) Find P(Z &lt; -0.39 or Z &gt; -0.13) = ?

Q: A random variable X follows a normal distribution with mean μ = 100 and standard deviation σ = 20.…

A:

Q: If ZZ is a random variable from a standard normal distribution and if P(Z<b)=0.6P(Z<b)=0.6, then…

A:

Q: Find the proportion of observations from a standard normal distribution N(0,1) that satisfies…

A:

Q: Determine the standard normal random variable (z) for P(X > 80) Suppose X be a normally distributed…

A: Solution-: Given: μ=65,σ=13 We want to find the standard normal random variable (z) for P(X &gt; 80)…

Q: Assume the random variable x is normally distributed with mean μ=50 and standard deviation σ=7. Find…

A: It is given that the the random variable x is normally distributed with mean μ=50 and standard…

Q: Assume the random variable x is normally distributed with mean μ=50 and standard deviation σ=7. Find…

A:

Q: Prove that the E(X) = 1/p for a geometric distribution, where x is the number of trials.

A: The geometric distribution with probability that ranges from 0 to 1 is a discrete probability on the…

Q: ssume that the random variable X is normally distributed, with mean r=60   and standard deviation…

A: The z-score corresponding to x =80 will be:

Q: Find the probability that standard normal random variable takes on the given values. Show the…

A:

Q: Let X random variable distribute as normal N(-1 , 0.25) then P(z > - 2.5) equal: a. 0.9987 b. •…

A: Given data,μ=-1σ2=0.25σ=0.5P(z&gt;-2.5)=?

Q: Vhat is the probability that Dis at least 15050 kg/day Does the probability of D greater than the…

A:

Q: . Let X have a standard normal distribution. Find  P(X ≧ -0.25)

A: Given,   Let X have a standard normal distribution.    The mean and standard deviation of X is,…

Q: Find -z and z such that 55% of the standard normal curve lies between –z and z.

A: Given data  55% of area of standard normal curve lies between -Z and Z.  we have to find value of -z…

Q: Let x be a random variable that represents micrograms of lead per liter of water(ug/l).An industrial…

A: Given Information:

Q: OThe continuous random variable Z follows a standard normal distribution. Using table, find: i…

A: i. The standard normal variable is Z, which follows the normal distribution with the mean of 0 and…

Q: Assume the random variable X is normally​ distributed, with mean μ=50 and standard deviation σ=7…

A: Normal distribution is a continuous distribution which has many real life applications. Normal curve…

Q: Assume the random variable X is normally distributed with mean μ=50 and standard deviation σ=7. Find…

A: Solution:From the given information, mean value is 50, standard deviation value is 7. Let the random…

Q: a) Find  such that P( X ?) = 0.1230, where X is a normal random variable with mean    = 10 and…

A: Let ,  X→N(μ=10 , σ=2.5) We want to find the value x such that  a) P(X&lt;x)=0.9332  b)…

Q: Assume that the random variable X is normally distributed, with mean r=80  and standard deviation…

A:

Q: Consider a random variable X that follows a normal distribution with a mean (μ) of 50 and a standard…

A: Given that the random variable  follows a normal distribution with a mean of  and a standard…