Question

Consider a binomial experiment with n=5 and p=0.20

What is p(x≥2)?

Answer #1

P(X = x) = nCx * p^{x} * (1 - p)^{n - x}

P(X > 2) = 1 - P(X < 2)

= 1 - (P(X = 0) + P(X = 1))

= 1 - (5C0 * (0.2)^0 * (0.8)^5 + 5C1 * (0.2)^1 * (0.8)^4)

= 1 - 0.7373

= 0.2627

Question 5. Consider a binomial experiment with
n = 10 and p = 0.10. Use the binomial tables below to answer parts
(a) through (d).
Find f (0).
Find f (2).
Find P(x ≤ 2).
Find E(x).
Find Var(x) and σ

If you are conducting a binomial experiment with p = 0.3 and n =
10:1) What is the mean AND standard deviation of successes?
2) What is P(x = 0)?
3) What is P(x = 1)?
4) What is P(x = 2)?
5) What is P(x ≤ 2)?

If x is a binomial random variable where n = 100 and p = 0.20,
find the probability that x is more than 18 using the normal
approximation to the binomial. Check the condition for continuity
correction.

1. Consider a binomial experiment with n = 4 and p = 0.1 a.
Compute f(0).
b. Compute f(2).
c. Compute P(x≤2).
d. Compute P(x≥1).
e. Compute the expected value, variance and standard
deviation.

If x is a binomial random variable where n = 100 and p = 0.20,
find the probability that x is more than 18 using the normal
approximation to the binomial. Check the condition for continuity
correction
need step and sloution

consider a binomial experiment with n = 15 and p= 0.3.
a. compute f(0) (to 4 decimal places)
b. compute f(8) (to 4 decimal places)
c. compute P(x is less than or equal to 2) (to 4 decimal
places)
d. compute P( x is greater than or equal to 1) (to 4 decimal
places)
e. compute E(x) (to one decimal)
f. Compute Var(x) and sigma. (both to 2 decimal
places)

Make a histogram for a binomial distribution with n = 6 and p =
0.20 and describe the shape of the histogram. Use the probabilities
from the Binomial Distribution Table.

A) A binomial probability experiment is conducted with the given
parameters. Compute the probability of x successes in the n
independent trials of the experiment.
n=12 , p=.35 , x=2
p(2)= ?
B) A binomial probability experiment is conducted with the given
parameters. Compute the probability of x successes in the n
independent trials of the experiment.
n= 30 p=.03 , x=2
P(2)= ?
C) A binomial probability experiment is conducted with the given
parameters. Compute the probability of x...

Suppose a random
variable, x, arises from a binomial experiment. If
n = 14, and p = 0.13, find the P(X = 3) using
Excel. Round answer to 4 decimal places.

A binomial probability distribution has p = 0.20 and n =
100.
(d) What is the probability of 17 to 23 successes? Use the
normal approximation of the binomial distribution to answer this
question. (Round your answer to four decimal places.)
(e) What is the probability of 14 or fewer successes? Use the
normal approximation of the binomial distribution to answer this
question. (Round your answer to four decimal places.)

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