The random variable X has a binomial distribution with n = 10 and p 0.5. Determine the following probabilities (up to 4 decimal place): (a) P(X = 5) = (b) P(X ≤ 2) = (c) P(X ≥ 9) =

Q: Let x be a binomial random variable with  n = 20 and p = 0.2 Find  p (x<5)

A: Given information: X is a binomial random variable. The parameters are: Number of trials, n = 20…

Q: In each part, assume the random variable X has a binomial distribution with the given parameters.…

A: A random variable X~Binomial (n, p)P(X=x)=nxpx(1-p)n-x    ;x=0,1,2.....n

Q: Let z denote a random variable that has a standard normal distribution. D (a) P(Z < 2.38) = (b) P(z…

A: Given:Let z denote a random variable that has a standard normal distribution.

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: Calculate the probabilities using geometric distribution Round to 3 decimal places. a. The first…

A: If the probability of success on each trial is p, then the probability that the kth trial (out of k…

Q: Use the normal approximation to the binomial distribution to find the probability that, out of 1500…

A: Assuming that the probability of vaccine effect on each individual to be p=0.8 then assuming X is…

Q: In each part, assume the random variable X has a binomial distribution with the given parameters.…

A: (a) n=5,p=0.6; Binomial ~ (n, p)           P(X=3)=Cxn px (1-p)n-x = C35 (0.6)3 (1-0.6)5-3 = 0.3456…

Q: Use a normal distribution as an approximation to the binomial probability distribution to…

A: Given: Sample Sizen=20 Proportionp=0.8 The normal distribution can be used as an approximation to…

Q: Assume that a procedure yields a binomial distribution with a trial repeated n = 7 times. Find the…

A:

Q: X is a binomial random variable with parameter n=6 and p30.52. What is the probability P(3sX<5)?…

A:

Q: Assuming that X is a binomial random variable where n= 10 and p= 0.3, find P(X>4).

A: given data binomial distributionn = 10p= 0.3P(x&gt;4) = ? formula of binomial distribution: P(X=x) =…

Q: Calculate the probabilities using geometric distribution Round to 3 decimal places. a. The first…

A: a. Define the Random Variable, X  : Number of trials until first success occurs So, X ~…

Q: Assuming that X is a binomial random variable with n = 10 and p = 0.25, find the probability, P for…

A: sample size(n)=10p=0.25

Q: Caden is a perfectionist.  He needs to make 40 widgets.  Unfortunately, each time Caden attempts to…

A: Negative Binomial Distribution: If we have a sequence of trials each having two outcomes, say…

Q: Find the probabilities for the following z-scores: 1. p(z -0.25) 3. p(z 1.68)

A:

Q: A binomial random variable X reveals p=100 and o=20. Calculate P{X=101}.

A:

Q: Let X be binomial random variable with n =20. For the hypothesis test Ho p = 0.5 versus Ha : p > 0.5…

A: It was stated to suppose that X is binomial variate. The hypothesis is given as:

Q: Let X be a binomial random variable with number of trials equal n =10, and success probability p =…

A: Given that n=10 , p=0.2 , q=1-p=1-0.2=0.8 X~Binomial(n=10,p=0.2) Probability mass function of X is…

Q: If Z is a normal random variable with mean 0 and standard deviation 1, find the following…

A:

Q: (a) P(x≤ a) = 0.42 a = (b) P(x a) = 0.32 a =

A: a) Suppose the random variable x defines the Uniform probability distribution from 0 to 5.

Q: For a binomial random variable X∼B(n=89,p=0.8)X∼B(n=89,p=0.8), find the probability P(X=67)P(X=67):…

A: X has binomial random variable.X~B(n=89,p=0.8)We know the pmf of X is;f(x) =Cnxpx1-pn-x,…

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: Suppose a random variable is best described by a uniform probability distribution with range 2 to 4.…

A: given data, data follows uniform distribution X~U(2,4)we have to find out the given probabilities.

Q: Let z denote a random variable that has a standard normal distribution. Determine each of the…

A: a)P(-0.79≤z≤-0.53)=?=P(z≤-0.53)-P(z≤-0.79)=0.2981-0.2148=0.0833

Q: 2. Let X be a binomial random variable with p - 0.1 and n - 10. Calculate the P(X > 8). (Binomial).

A: A random variable X is said to have a binomial distribution iff it's probability distribution is…

Q: A random variable X has a Binomial distribution with n=6 and p=0.3

A:

Q: Suppose the random variable X has a geometric distribution with p = 0.4. Determine the following…

A: Givenp=0.4q=1-pq=1-0.4q=0.6A random varaible x~Geometric(p =0.4 )P(X=x)={pqx-1   ; x=1,2,3.....0…

Q: A binomial experiment for the random variable X was performed with 10 trials. The probability of…

A: