Question

Assume that a procedure yields a binomial distribution with a
trial repeated n=15n=15 times. Find the probability of x≥9x≥9
successes given the probability p=0.6p=0.6 of success on a single
trial.

(Report answer accurate to 3 decimal places.)

P(x≥9)=

Answer #1

Here, n = 15, p = 0.6, (1 - p) = 0.4 and x = 9

As per binomial distribution formula P(X = x) = nCx * p^x * (1 -
p)^(n - x)

We need to calculate P(X <= 8).

P(X <= 8) = (15C0 * 0.6^0 * 0.4^15) + (15C1 * 0.6^1 * 0.4^14) +
(15C2 * 0.6^2 * 0.4^13) + (15C3 * 0.6^3 * 0.4^12) + (15C4 * 0.6^4 *
0.4^11) + (15C5 * 0.6^5 * 0.4^10) + (15C6 * 0.6^6 * 0.4^9) + (15C7
* 0.6^7 * 0.4^8) + (15C8 * 0.6^8 * 0.4^7)

P(X <= 8) = 0 + 0 + 0 + 0.002 + 0.007 + 0.024 + 0.061 + 0.118 +
0.177

P(X <= 8) = 0.389

P(X>= 9) = 1 - P(x < =8)

= 1 - 0.389

= 0.611

Assume that a procedure yields a binomial distribution with a
trial repeated n=6 times. Find the probability of x≥4 successes
given the probability p=0.66 of success on a single trial.
(Report answer accurate to 3 decimal places.)
P(x≥4) =

Assume that a procedure yields a binomial distribution with a
trial repeated n times. Use the binomial probability formula to
find the probability of x successes given the probability p of
success on a single trial. Round to three decimal places.
n = 7, x = 4 , p = 0.5

Assume that a procedure yields a binomial distribution with a
trial repeated n=5 times. Find the probability distribution given
the probability p=0.533 of success on a single trial.
(Report answers accurate to 4 decimal places.)
k
P(X = k)
0
1
2
3
4
5

Assume that a procedure yields a binomial distribution with a
trial repeated n times. Use the binomial probability formula to
find the probability of x successes given the probability p of
success on a single trial. Round to three decimal places. n = 4, x
= 3, p = 1/6

Assume that a procedure yields a binomial distribution with a
trial repeated n = 18 times. Find the probability of X > 4
successes given the probability p = 0.27 of success on a single
trial.
P(X>4)=

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trial repeated n times. Use the binomial probability formula to
find the probability of x successes given the probability p of
success on a single trial.
n=5, x=2, p=0.55
P(2) = (Round to three decimal places as needed.)

Assume that a procedure yields a binomial distribution with a
trial repeated n times. Use the binomial probability formula to
find the probability of x successes given the probability p of
success on a single trial. Round to three decimal places.
nequals5; xequals2; pequals0.70

1.)
Assume that a procedure yields a binomial distribution with a
trial repeated n=5n=5 times. Use technology to find the probability
distribution given the probability p=0.702p=0.702 of success on a
single trial.
(Report answers accurate to 4 decimal places.)
k
P(X = k)
0
1
2
3
4
5
2.)
Assume that a procedure yields a binomial distribution with a
trial repeated n=5n=5 times. Find the probability distribution
given the probability p=0.799p=0.799 of success on a single trial.
Report answers...

Assume that a procedure yields a binomial distribution with a
trial repeated n times. Use the binomial probability formula to
find the probability of x successes given the probability p of
success on a single trial. Round to three decimal places.
nequals4; xequals3; pequalsone sixth

Assume that a procedure yields a binomial distribution with a
trial repeated times. Find the probability of successes given the
probability p of success on a given trial.
A. n = 12, x = 4, p = 0,40
B. n = 15, x = 2, p = 0.30
show all of your work

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