14, ÷ 1 points BBUnderStat11 5.2.027 My Notes Ask Your Teacher Study the binomia

Question

14, ÷ 1 points BBUnderStat11 5.2.027 My Notes Ask Your Teacher 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 n = 5·Look at the numbers in the columns headed by = 0.30 and p = 0.70. Do you detect any similarities? Consider the following probabilities for a binomial experiment with five trials. (a) Compare P(3 successes), where p = 0.30, with P(2 successes), where p = 0.70 (3 successes), where = 0.30, is larger. P(3 successes), where p = 0.30, is smaller. O They are the same. (b) Compare P(3 or more successes), where p = 0.30, with P(2 or fewer successes), where p-070. P(3 or more successes), where p-0.30, is smaller. O They are the same. O P(3 or more successes), where p 0.30, is larger (c) Find the value of P(4 successes), where p = 0.30. (Round your answer to three decimal places.) P(4 successes)- For what value of r is P(r successes) the same using p = 0.70? (d) what column is symmetrical with the one headed by p = 0.20? O the column headed by p = 0.85 O the column headed by p = 0.80 O the column headed by p = 0.50 O the column headed by p = 0.70 O the column headed by p = 0.40

Explanation / Answer

Answer:

a).

P( 3 when P=0.3 ) is 0.1323

P( 2 when P=0.7 ) is 0.1323

They are same

b).

P( 3 or more when P=0.3 ) is 0.1631

P( 2 or less when P=0.7 ) is 0.1631

They are same

c).

P( x=4) = 0.028

r=1

d).

The column headed by p=0.80

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