In a binomial distribution, n = 12 and π = .60. a. find the probability for x = 5? (round your answer to 3 decimal places.) probability b. find the probability for x ≤ 5? (round your answer to 3 decimal places.) probability c. find the probability for x ≥ 6?

For binomial distribute we use formula

the probability mass function of the binomial distribution is:

Given n = 12 and π = .6. (Replace the values)

the probability for x = 5, we need to find P(x=5). Here r= 5

P(x=5)=

= = 0.10090 = 0.101

(b) the probability for x ≤ 5

P(x<=5) = P(x=0) + P(x=1) +P(x=2)+ P(x=3) + P(x=4) + P(x=5)

P(x<=5) = + +   + + +

= 0.15821229 = 0.158

(c) find the probability for x ≥ 6

P(x>=6) =P(x=6) + P(x=7) +P(x=8)+ P(x=9) + P(x=10) + P(x=11)+ P(x=12)

P(x>=6) = + + + + +    +  

= 0.8417877 = 0.0842 (rounded to 3 decimal places)

a= 0.101 b= 0.158 c= 0.842

Step-by-step explanation: using the formula: nCr (pi)^r (1-pi)^n-r

b

step-by-step explanation:

u take $75 minus $60.the anwer/original($75)multiply by 100

think about the doctor who treated the major and the speaker in the short story "in another country." put yourself in the shoes of the doctor, and based on what you read in the story, write what you think his thoughts about the major and the speaker would be. use the following vocabulary in your response and change the form of these words as needed: detached resign withered