Approximate the following binomial probabilities by the use of normal approximation.  P(12  x 18, n = 50, p = 0.3)

Q: An exponential probability distrubution has a mean equal to 10 minutes per customer . Calculate the…

A: Consider the random variable X is the time between arrivals of vehicles at particular intersection…

Q: Consider a binomial probability distribution with n=300, p=0.6, and x be the number of successes.…

A:

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: P b. 0.9 C. Od. 0.5

A: It is an important part of statistics. It is widely used.

Q: 3- Assume that you have a random variable X which is binomially distributed, and someone told you…

A: Step 1: Given that x follows binomial distribution with mean 6 and variance =4.2 That is,…

Q: Q4 The weight of McMaster students is Gaussian distributed with mean 86kg and standard deviation…

A: Given that: Mean = 86 kg S. D = 8 kg By using standard normal distribution z score...

Q: Let X be a random variable with a mean of 50 and a variance of 64. Find: i. P(x< 52) ii. P(35 < X <…

A:

Q: Find the variance of a binomial distribution when p = 73% and n = 205. (

A: Note :- Variance=np(1-p) in our question Given that p=73%=.73 And n=205 So

Q: Let Y be a negative binomial random variable with p = 0.4. Find P (Y> 3) if r = 4

A: p.d.f of negative binomial distribution is given by,

Q: Let the random variable X fit the binomial distribution with p=1/2 , n=3 parameters. Plot the…

A: Given Data: n=3 p=0.5   Distribution function is also known as cumulative function

Q: Find the mean for n = 300 and p = 0.3 when the conditions for the binomial distribution are met.

A: Solution: From the given information, n=300 and p=0.3.

Q: Find the mean and standard deviation for the binomial distribution when p = 3/8 and n= 235.

A: Given p=3/8, n=235

Q: Estimate the indicated probability by using the normal distribution as an approximation to the…

A: Continuity Correction: The binomial and Poisson distributions are discrete random variables, whereas…

Q: If the variance of a binomial distribution is 6 and probability of success in one trial p = 0.5,…

A: Given that, Variance = 6 Probability, p =0.5 Number of trials, n = 24

Q: Approximate the following binomial probabilities by the use of normal approximation. a. P(x< 12, n =…

A: According to the provided information, a. n = 50, p = 0.3Let X follows the binomial distribution,…

Q: a. A random variable X has the following probability distribution: 0 x 18 5x 18 10 x 18 15 x 18 20 x…

A:

Q: X is the Binomial Random Variable which counts the number of students who passed an exam. If the…

A: Here, n=46 and p=0.89.

Q: A normalīdistribution has a mean of u = 90 withơ = 15. Find the following probabilities: a. p(X >…

A: Note: Hi there! Thank you for posting the question. As there are multiple sub parts, according to…

Q: Determine the following probabilities: (a) P(T > 30), (b) P(12 <T< 18), (c) P(T < 25).

A: T~E(20)

Q: The mean percent of childhood asthma prevalence in 43 cities is 2.42​%. A random sample of 33 of…

A: In question, Given that the mean percent of childhood asthma prevalence in 43 cities is 2.42​%. A…

Q: Assume that you have a random variable X which is binomially distributed, and someone told you that…

A: Assume that you have a random variable X which is binomially distributed, andsomeone told you that…

Q: Find the mean the of the probability distribution of the random variable if P(X) = x-3/15 for X= 7,8…

A: Formula : μ = E(x) = Σx * p(x)

Q: 3- Assume that you have a random variable X which is binomially distributed, and someone told you…

A:

Q: Using the binomial Distribution n=11 and q= 0.33 , find P ( x=9)

A: We have given that,  n = 11 and q = 0.33 Then,  p= 1-q p= 1-0.33 p= 0.67

Q: Q2: A random variable X has a mean = 8, a variance o² = 9, and an unknown probability distribution.…

A: It is given that:The random variable X has mean and variance as:

Q: Find the mean and variance of the binomial Distribution P=0.38, n=5

A: Answer: From the given data, p = 0.38  and q = 1 - p = 1 - 0.38 = 0.62 Sample size(n) = 5