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Cumuletive Distribution Function Dinomial with n-30 and p 06 5000000 6 000001 7

ID: 3050643 • Letter: C

Question

Cumuletive Distribution Function Dinomial with n-30 and p 06 5000000 6 000001 7 000005 3 0.00022 9 0.00086 10 0.00285 11 0.00830 12 002124 13 0.04811 14 009706 15 0.17537 16 028550 17 0.42153 18 056891 19 0.70853 20 082371 21 0.90599 22 0.95648 23 0.98282 24 0.99434 25 099849 26 0.99969 27 0.99995 28 1.00000 29 1.00000 Use the above table to answer the following questions a. What proportion of your values are less than 20? b. What is the exact probability that X will be less than 20? c. Find Pix

Explanation / Answer

Solution:-

n = 30, p = 0.60

a) The proportion of your values are less than 20 is 0.70853

b) The exact probability that the x would be les than 20 is 0.70852814.

x = 20

By applying binomial distribution:-

P(x, n) = nCxpx*(1-p)(n-x)

P(x < 20) = 0.70852814

c) P(x < 24) = 0.98282

d) P(9 < x < 15) = 0.17515

P(9 < x < 15) = P(x < 15) - P(x < 9)

P(9 < x < 15) = 0.17537 - 0.00022

P(9 < x < 15) = 0.17515

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