jubateee

2021-12-28

Study the binomial distribution table. Notice that the probability of success on a single trial p ranges from 0.01 to 0.95. Some binomial distribution tables stop at 0.50 because of the symmetry in the table. Let's look for that symmetry. Consider the section of the table for which

(a) Compare P(3 successes), where

(b) Compare P(3 or more successes), where

P(3 or more successes), where

(c) Find the value of P(4 successes), where

For what value of r is P(r successes) the same using

enhebrevz

Beginner2021-12-29Added 25 answers

Step 1

a) Given that

Consider P(3 successes), if

Consider P(2 or fewer successes), where

Here, the value of P(3 successes) is less than P(2 or fewer successes).

P(3 successes), where

Step 2

b) Given that

Consider P(3 or more successes), if

Consider P(2 or fewer successes), where

Here, the value of P(3 or more successes) is same as P(2 or fewer successes).

P(3 or more successes), where

Step 3

c) P(4 successes), where

deginasiba

Beginner2021-12-30Added 31 answers

Step 1

a) From table:

They are the same.

b)

They are the same.

c)

So,

d) the column headed by

karton

Expert2022-01-04Added 613 answers

Step 1
Compare P(3 successes), where p = 0.30, with P(2 successes), where p = 0.70.
P(3 successes)=0.1323P( 2 successes) =0.1323
P(3 successes), where p = 0.30, is larger.
Answer: They are the same.
P(3 successes), where p = 0.30, is smaller.
NSK
b) Compare P(3 or more successes), where p = 0.30, with P(2 or fewer successes), where p = 0.70.
P( 3 or more)=0.163
P( 2 or fewer) =0.163
P(3 or more successes), where p = 0.30, is larger.
Answer: They are the same.
P(3 or more successes), where p = 0.30, is smaller.
c) Find the value of P(4 successes), where p = 0.30. (Round your answer to three decimal places.)
P(4 successes) = 0.028
For what value of r is P(r successes) the same using p = 0.70?
Answer: r = 1
d) What column is symmetrical with the one headed by p = 0.20?
Answer: the column headed by p = 0.80
the column headed by p=0.40
the column headed by p=0.70
the column headed by p = 0.50

22+64

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