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: Q1. Many track hurdles believe that they have a better chance of winning if they start in the inside…

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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: Let X represent a binomial random variable with n=320 and p = 0.74. Find the following…

A: The given data is as follows:Sample size, Probability of success,

Q: Find the following probabilities. 2. P(z < -3.72) 3. P(z < 1.81)

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Q: Use the z-table to find the following probabilities P(0 1.24)

A: P(0 &lt; z &lt; 2.46)

Q: The number of tails showing when flipping four coins is a discrete random variable. Denote it by X.…

A:

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: 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…

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A:

Q: Assume z is the standard normal random variable. Calculate each of the following probabilities using…

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

Q: Assume that x is a binomial random variable with n = 80 and p = 0.5. Use a normal approximation to…

A: It is given that  n = 80 p = 0.5 q = 1 - p = 1 - 0.5 = 0.5

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

Q: X is a binomial random variable withn= 10 andp = 0.9. Which of the following statements is false?…

A: Given Data: n=10 p=0.9   X~ Binomial (10, 0.9)

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: Suppose x is a uniform random variable with a = 30 and b = 60. Find P(x < 38 | x < 50).     0.27…

A: Given that:  X~Uniforma,b=Uniform30,60 Required probability:  P(x &lt; 38 | x &lt; 50)

Q: Let X be a geometric random variable p = 0.3. What is the probability that X is an odd number?

A: Sol:- A geometric random variable models the number of trials required to achieve the first success…

Q: e. Find P(x24). P(x24) = 0.828 (Round to three decimal places as needed.) f. Find P(x> 2). P(x> 2) =…

A: Let a random experiment be performed repeatedly, each repetition is called a trial. let the…

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

A:

Q: If X is a random variable that distributes t-students with 12 degrees of freedom, using the table,…

A: The objective is to find the probability values that  and  for the -distribution degrees of freedom…

Q: Use the following probabilities to answer the question. Round to 4 decimal places. Р(А) — 0.13, Р(В)…

A: Given P(A)=0.13 P(B)=0.77 P(A and B)=0.10

Q: g. P(z<zo) = 0.5 h. P(zszo) = 0.0091

A: Given:  z be the standard normal variate N(0,1)  to find value of Z0  g): p(Z&lt;Z0)=0.5  h):…

Q: Let X be a discrete random variable that takes on the values 2, 3, 4, 5, 6, 7 with respective…

A: X 2 3 4 5 6 7 P(x) 0.15 0.10 0.20 0.20 0.20 0.15

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A: Given that a box contains 8 cameras and that 3 of them are defective.  Probability that it is…

Q: Suppose that six cups of yogurt are selected at random. What is the probability that at least three…

A: For a random variable, X~B(n,p), the probability mass function is, P(X=x)=nCxpxq(n-x) ;…

Q: Suppose that X~ N(39, 2). Find the following probabilities. Round to four decimals. a. P(X 36.6) :…

A:

Q: A decision-maker has subjectively assigned the following probabilities to the four outcomes:…

A: We know that, ∑p = 1 P(A) + P(B) + P(C) + P(D) = 0.25 + 0.15 + 0.35 +0.3 = 1.05

Q: babilities that fast – food restaurant sells 10, 20, 30, 50, 100 burgers daily are 0.20, 0.30, 0.25,…

A: We have given that  Probability distribution.  A 10 20 30 50 100 p(A) 0.20 0.30 0.25 0.15 0.10…

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: The probability of Uber X arriving at the airport at or before your planned arrival time is 0.85.…

A: Given Information: The probability of Uber X arriving at the airport at or before your planned…

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

A:

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…

Q: Let X represent a binomial random variable with n=120 and p=0.35. Find the following probabilities.…

A: As per our guidelines, we can solve the first three sub parts of question and rest can be…

Q: Groups of adults are randomly selected and arranged in groups of three. The random variable x is the…

A: Here the given information is Groups of adults are randomly selected and arranged in groups of…

Q: Suppose X is a binomial random variable with n= 6 and q = 0.60. Find the following probabilities d.…

A: The number of terms are 4. The probability of event not happen is 0.60.

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.