From the probability distribution, find the mean and standard deviation for the random variable x, which represents the number of cars per household in a town of 1000 households. x P(x) 00.150 10.403 2 0.266 3 0.098 4 0.083 u= 1.561; o=1.114 O μ= 1.561; o = 1.896 O μ= 1.859; o=1.114 None of these X 000 %

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

A:

Q: points of the population proportion of 15% is closest to (Use normal approximation): replacement.…

A: Given P=15%=0.15 1-p=0.85

Q: Let X be a random variable that follows a standard normal distribution (mean μ=0 and standard…

A: It is given that X be a random variable that follows a standard normal distribution (mean μ = 0 and…

Q: Assume the random variable x is normally distributed with mean = 90 and standard deviation a = 4.…

A: Assume the random variable x is normally distributed with mean = 90 and standard deviation a = 4.…

Q: Suppose x is a normally distributed random variable with μ = 34 and G=5. Find a value x。 of the…

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

Q: In the US, systolic blood pressure is a random variable that is normally distributed with a mean of…

A:

Q: Let X be a random variable following a normal distribution with mean 14 and variance 4. Determine a…

A: Solution: From the given information, X follows normal distribution with mean µ=14 and variance…

Q: If a random variable X has the gamma distribution with a = 2 and B = 1, find P(1.8 <X< 2.4). O0.2315…

A: Solution

Q: 7% of US adults have blood type O-negative. Suppose we take a random sample of 50 US a X represent…

A: Note: Please repost 2nd question as i can author only 1 question as per my policy. Given…

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

A: Given Data: Y is the random variable Mean( Y)=250 Standard Deviation (Y)=50   Y~ Normal (250, 502)

Q: If a random variable X has the gamma distribution with a = 2 and ẞ= 1, find P(1.7<X<2.3).

A: P(1.7&lt;x&lt;2.3)=16.24%Explanation:Given: X has a gamma distribution withα=2β=1 Probability…

Q: Suppose x is a normally distributed random variable with mean μ = 75 and standard deviation o = 4.…

A: The information provided in the question are as follows :-The random variable x is normally…

Q: Consider a population with mean u = 50 and standard deviation o = 4. Let X1,X2, ... ,X10 be a random…

A: Given: Mean μ=50. Standard deviation σ=4 Determine the expected value of Standard deviation  using…

Q: P(x) 0.645 1. 0.297 0.052 0.005 0.001 0.000 2345

A: We have to use following formulae , Standard deviation : σ = ∑( x - μ)2p(x) Where , μ is mean μ =…

Q: Assume that the probability of a being born with Genetic Condition B is p=5/12. A study looks at a…

A: P(born with genetic condition) = p = sample size (n) = 584x = no. of volunteers with genetic…

Q: Suppose that the weight of an newborn fawn is Uniformly distributed between 1.6 and 3.2 kg. Suppose…

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

Q: Consider the probability distribution shown for the random variable x found below. Complete part a…

A: We want to find mean and variance and standard deviation.

Q: Assume that the random variable X is normally distributed with mean μ = 120 and standard deviation o…

A: Mean==120Standard deviation==13

Q: A random sample of n = 4 scores is obtained from a normal population with µ = 30 and σ = 8. What is…

A: Obtain the probability that the sample mean will be smaller than M= 22. The probability that the…

Q: Let X be a random variable with Normal distribution, mean = 16, sd = 2. Find the value of x such…

A: From the provided information, Mean (µ) = 16 Standard deviation (σ) = 2 X~N (16, 2)

Q: Find the standard deviation of each random variable shown. The mean for part a is 2.3​, and the mean…

A:

Q: The World Bank records the prevalence of HIV in countries around the world. According to their data,…

A:

Q: Find the value of so that the area to the left of is 0.0847.           b. Find the value of so…

A:

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: A random sample of n = 4 scores is selected from a normally distributed population with μ = 80 and σ…

A: The question is about central limit theorem Given : Popl. mean of scores ( μ ) = 80 Popl. std.…

Q: Let x be a random variable that represents white blood cell count per cubic milliliter of whole…

A: Given data: Mean = 7500 Standard deviation = 1750 To find: a. What is the probability that on a…

Q: Assume that the probability of a being born with Genetic Condition B is p=1/5. A study looks at a…

A: From the provided information, Sample size (n) = 971 Probability of a being born with Genetic…

Q: obability of a boy =0.5. Finc obability of less than 2 boys- ormal approximate probabilit boys. DA.…

A: Given n=10 P=0.5

Q: Assume that the probability of a being born with Genetic Condition B is p = 7/60. A study looks at a…

A: given data, p=760n=826we have to find out the mean , standard deviation and range rule of thumb…