63% of all students at a college still need to take another math class. If 4 students are randomly selected, find the probability thata. Exactly 2 of them need to take another math class. b. At most 2 of them need to take another math class. c. At least 2 of them need to take another math class. d. Between 2 and 3 (including 2 and 3) of them need to take another math class. Round all answers to 4 decimal places.

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Asked Nov 3, 2019
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63% of all students at a college still need to take another math class. If 4 students are randomly selected, find the probability that

a. Exactly 2 of them need to take another math class. 
b. At most 2 of them need to take another math class. 
c. At least 2 of them need to take another math class. 
d. Between 2 and 3 (including 2 and 3) of them need to take another math class. 

Round all answers to 4 decimal places.

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Expert Answer

Step 1

Hey there! Thank you for posting the question. Since your question has more than 3 parts, we are solving the first 3 parts for you, according to our policy. If you need help with any of the other parts, please re-post the question and mention the part you want answered.

Step 2

It is given that n =4 and p = 0.63.

The probability mass function of binomial distribution is given below:

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Р(x -х) - "С,р"(1-р)"

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Step 3

a)

The probability that exactly two of them need to tak...

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Р(х - 2)-'с, (0.63) (1-0.63)* -2 ५-ম п! "С, * (п - х)!, =0.3260

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