Assume that x is a binomial random variable with n=140 and p=0.3. Use a normal approximation to find each of the following probabilities. a. P(x≤37) b. P(40≤x≤50) c.  P(x≥40)

Q: For a certain animal, suppose that the number of babies born is independent for each pregnancy. This…

A: GivenThe number of babies born is independent for each pregnancy.Probability that animal will have…

Q: Suppose that a box contains 6 cameras and that of them are defective. A sample of 2 cameras is…

A: Given : A box contains 6 cameras and 4 of them are defective  Population size of cameras = 6 No. of…

Q: Consider the continuous random variable x, which has a uniform distribution over the interval from…

A: Given:  Random variable x from uniform distribution x~unif(a=20, b=28)  With pdf f(x)= 1/(b-a)=1/8…

Q: Suppose x is a normally distributed random variable with μ=10 and σ=2. Find each of the following…

A: Given μ=10σ=2

Q: Let be a random variable that possesses a binomial distribution with p= 0.6 and n=13. Using the…

A: Number of trials n=13 Probability of success p=0.6 X~binomial(n,p)

Q: Let z be a standard normal variable. Calculate each of the following probabilities:   P(-2.58 ≤ z…

A: To calculate this probability, we can use the properties of the standard normal distribution. The…

Q: Q7- If the random variable X is normal with mean 4 and standard deviation 2, then what is P(X² – 8X…

A: Given: X~ N (μ=4 ,  σ = 2) mean= μ = 4 standard deviation = σ = 2 Calculation: then find  P(X2-8X…

Q: If x is a binomial random variable, use the binomial probability table to find the probabilities…

A:

Q: If x is a binomial random variable, use the binomial probability table to find the probabilities…

A: If x is binomial random variable with parameters n and p. then We know the pmf of X is;f(x)…

Q: sider the continuous random variable x, which has a uniform distribution over the interval from 20…

A: given data, the continuous random variable xuniform distribution over the interval from 20 to 28we…

Q: Suppose that a box contains 8 cameras and that 5 of them are defective. A sample of 2 cameras is…

A: Given P=5/8=0.625 n=2

Q: Fill in the P(X=x) values to glve a legitimate probability distribution for the discrete random…

A:

Q: Find the probability of 8 or fewer Mexican-Americans among 12 jurors.P(x≤8)= ______ .

A: Let the random variable x be the number of Mexican Americans among 12 jurors.The probability…

Q: Let X be a random variable for a discrete uniform distribution. If −1≤X≤5−1≤X≤5, what is the…

A: Answer:- Let X be a random variable for a discrete uniform distribution. If −1≤X≤5 what is the…

Q: If the random variable X is normal with mean 2 and standard deviation 2, n what is P(X² – 4X < 1). -

A:

Q: If the probability function for discrete random variables, X = 1, 2, 5; is P(X) =

A: Given probability function is, PX=18X, X=1,2, 5 X 1 2 5 P(X) 18 28 58

Q: The hippocampus is a brain structure that is responsible for forming and accessing memories. The…

A:

Q: A sociologist randomly selects single adults for different groups of three, and the random variable…

A:

Q: Suppose x is a normally distributed random variable with μ = 12 and o=2. Find each of the following…

A: Let X be the random variable from normal distribution with mean (μ) = 12 and standard deviation (σ)…

Q: Suppose that a box contains 9 cameras and that 5 of them are defective. A sample of 2 cameras is…

A: Total number of cameras = 9 Total number of defective cameras = 5 Probability that a camera will be…

Q: Assume that Z is a standard normal random variable. If P(Z<0.06)%3D0.52, which one of the following…

A: we haveto find given probability

Q: The Kunkel's host a game night every weekend.  The duration of these game nights, typically, last…

A: Given:  The duration of these game nights, typically, last between 90 minutes and 180 minutes the…

Q: Find the following probabilities. 1. P(z 1.64)

A: The probability is given by the z table of values. The given value is Pz=1.64

Q: Let the random variable Z have a standard normal distribution. Find each of the following…

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

Q: Assume that X is a binomial random variable with n= 5 and p = .35. Calculate P(X ≤ 1) O 0.3124…

A:

Q: Suppose that a box contains 9 cameras and that 4 of them are defective. A sample of 2 cameras is…

A:

Q: Suppose x is a normally distributed random variable with μ=10 and σ=2. Find each of the following…

A: Note: Please repost part d as i can author only 3 subparts as per my policy Given data,Mean μ=10sd…

Q: Suppose that a box contains 7 cameras and that 4 of them are defective. A sample of 2 cameras is…

A: This can be solved using binomial law:

Q: Let x be a random variable with the following probability distribution Number 1 2 3 P(x)=f(x) k 1/3…

A:

Q: X takes values 1, 2, 3, 4 each with probability 1/4 and Y takes values 1, 2, 4, 8 with probabilities…

A: Given:  X=1,2,3,4 P(X=x) =1/4 for all above Xi Y=1,2,4,8 P(Y=1)=1/2, p(Y=2)=1/4, p(Y=4)=1/8,…

Q: Suppose X is a random variable with possible values 4,-4 and 2 and with respective probabilities…

A: Its a Discrete probability distribution

Q: Q1: The random variable X has a binomial distribution with n = 10 and p = 0.5. Determine the…

A: Since you have posted a question with multiple sub parts, we will provide the solution only to the…

Q: Let X represent a binomial random variable with n = 250 and p = 0.83. Find the following…

A: It is given that X follows a binomial distribution with parameters n as 250 and p as 0.83.

Q: Let X be a binomial random variable with n=10 and p=.8. Use the binomial tables to find P[X&lt;=7],…

A: Option c) 0.322   Explanation:

Q: Exercise 4.2 In the transmission of digital information, the probabilities that a bit has high,…

A: Given data P(High) = 0.01 P(Moderate) = 0.04 P(Low) = 0.95 n = 5 a) Probability that one bit has…

Q: Suppose X is a random variable with possible values -2,3 and 1 and with respective probabilities…

A: Given information, X -2 3 1 P(X) 0.22 0.35 0.43 Mean: X -2 3 1   P(X) 0.22 0.35 0.43…

Q: Consider the continuous random variable x, which has a uniform distribution over the interval from…

A:

Q: Let the random variable X follows binomial distribution with parameters 14 and 5/12. Find P(X…

A: It is given that X follows a binomial distribution with n=14 and p=5/12. The PMF of the binomial…

Q: Find Rx, the range of the random variable X. b.      Find P (X≤0.50). c.      Find P (0.25 < X <…

A: Given : P(X=x) = 0.10                                  for x = 0.20                         = 0.20…

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.