Suppose the random variable X follows a normal distribution with mean 30 and variance 81. Then the probability that X is less than 40 is O a. 0.8665 O b. 0.8656 Oc 0.6885 O d. 0.6858

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

A: From the given information we Want to find the probability between given Z score.

Q: Suppose that X is a normal random variable with a standard deviation of a =8. Ifwe know that Pr[X >…

A:

Q: Let X be a random variable that follows the normal distribution with mean 39 and variance 11. Answer…

A:

Q: a Suppose the random variable X follows a normal distribution with mean 30 and variance 81. Then the…

A: Obtain the Z-score for the random variable X equals 40. The Z-score for the random variable X equals…

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: Suppose Z shows a standard normal distribution with mean 0 and standard deviation of 1. Find the…

A: Given:Population mean=0Population standard deviation=1Type of distribution is standard normal…

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 Xfollows a normal distribution with mean 30 and variance 81. Then the…

A: Given that a random variable X follows a normal distribution with mean 30 and variance 81. We have…

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

A:

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

A: Let us assume the probability that Z is less than K is 0.20 So we can write: P(Z&lt;K)=0.20

Q: What is the probability that a randomly selected item will weigh between 6 and 10 kg? A. 0.9104 B.…

A: Answer:-  Here, option C is correct answer.

Q: If S and S₂ are the variance for the sample of independent random variable with size n₁ = 6 and №₂…

A: Given information: S12 and S22 are two sample variances. n1=6 and n2=10 The sampling distribution of…

Q: If z is a standard normal variable, find the probability when z is less than 1.98

A: Given that, Z score = 1.98 Left tailed

Q: Since x is a Poisson-distributed random variable with a mean of 1.8, what is its standard deviation?…

A: For a Poisson-distributed random variable X, the mean of X is equal to the variance of X.

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

A: Given that, Mean = 50 Standard deviation = 9

Q: Suppose 500 coins are tossed. Using the normal curve approximation to the binomial distribution,…

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

Q: A normal distribution has μ = 80 and σ = 10.  What is the probability of randomly selecting a score…

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Q: Find the mean and the standard deviation of the normallydistributed random variable X if…

A: Given: P(X≤2.2) = 0.4 Here we need to calculate the corresponding Z value  Using Excel :…

Q: Suppose the random variable x is best described by a normal distribution with p = 26 and o= 5. Find…

A: We have given that  Mean = 26 Standard deviation = 5 Note: According to Bartleby expert guidelines,…

Q: Suppose a random variable x is best described by a normal distribution with = 60 and o=4. Find the…

A: The mean is 60 and the standard deviation is 4.

Q: Given that X is a normally distributed random variable with mean of 50 and standard deviation of 2,…

A: According to the given information, we have Mean = 50 and Standard deviation = 2

Q: If z is a standard normal variable, find the probability that z lies between -2.41 and 0.

A:

Q: The random variable æ has the following probability distribution: 1 2 3 2 2 1 2 P(x) 10 10 10 10|10…

A:

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

A: P(-2.21&lt;Z&lt;-1.39)=?

Q: Suppose the random variable X follows a normal distribution with mean 8 and variance 25. Thus the…

A: Given, Mean μ = 8Variance σ2 = 25Standard deviation σ = Variance = 25 = 5

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

A:

Q: Suppose the random variable X follows a normal distribution with mean 30 and variance 81. Then the…

A: According to the given information, we have Mean = 30 Variance = 81

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: If X represents a random variable coming from a normal distribution and P(X 6.5) = 0.59. True O…

A: It is given that P(X&lt;6.5)=0.41.

Q: If a random variable X has the gamma distribution with a=2 and B=1, find P(1.6<X<2.5).

A:

Q: Suppose a random variable X is best described by a normal distribution with u=60 and o2=100 Find the…

A: Given data: Suppose = X is best described by a normal distribution μ =60 σ2 =100 Find the z-score…

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

A:

Q: If the random variable z has a standard normal distribution with symbol N(0,1), then the value of a…

A:

Q: Let y be a random variable having a normal distribution with a mean equal to 50 and a standard…

A: Since, the question contains multiple subparts; we are solving the first 3 subparts. If you need any…

Q: Suppose a population has a mean of 450 and a variance of 900. If a random sample of size 100 is…

A:

Q: If Sand S are the variance for the sample of independent random variables with size n₁ = 6 and n₂…

A: Given  A normal distribution,and variances are given.we need to determine the value of e such that…

Q: Suppose that random variable X follows a normal distribution with mean 20 and standard deviation 10.…

A:

Q: Let X be a random variable that follows the normal distribution with mean 32 and variance 6. Answer…

A:

Q: If z is a standard normal variable, find the probability. P(z>0.68)

A:

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

A: Given Data: Z follows standard normal distribution   Let the value be x

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

A: According to the given information, we have Z follows a standard normal distribution.

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

A: According to the given information, we have P(-2.21&lt;Z&lt;-1.39)

Q: Suppose the random variable Z follows a standard normal distribution. Then the value of P (Z< -3.39)…

A: Let Z be the standard normal variable with mean μ=0 and standard deviation σ=1 Z~N(0,1)

Q: Let x be a normal random variable with its mean equal to 40 and standard deviation equal to 5. Find…

A: here given , x be a normal random variable with mean 40 and standard deviation 5, here use standard…

Q: 4. Given a standardized normal distribution (with a mean of 0 and a standard deviation of 1, what is…

A:

Q: Suppose the random variableXfollows a normal distribution with mean 8 and variance 25. Thus the…

A:

Q: If X does not have a normal distribution, which of the following is true about the shape…

A: This is based on central limit theorem.

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.