A box has 20 products (including 15 good products and 5 bad products). From the box to get Randomly 3 products. Let X be the number of good products out of the 3 products.
a. Make a table of the probability distribution for X. Write the density function and the distribution function
for X.
b. Find the expectation and variance, the most confident value for X.
c. Let Y = 2X − 2. Find the expectation and variance for Y.

8+10

step-by-step explanation:

you multiply 4 by 2 and 5 by 2

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(a) common ratio in the given sequence is, 3

(b) push ups will do kendall do on the 20th week

step-by-step explanation:

geometric sequence is a sequence of numbers that follows a pattern were the next term is found by multiplying by a constant called the common ratio(r)

(a)

given the sequence: 6 , 18 , 54 , 162 ,

this sequence is geometric sequence where each term is 3 times the previous term.

therefore,

common ratio(r) = 3.

(b)

a formula for nth term of geometric sequence is given by;

,   where r is the common ratio between the successive terms and is the first term,

to find how many push ups will kendall do on the 20th week.

here. n = 20th term.

in the given sequence first term

then;

simplify:

therefore, push ups will do kendall do on the 20th week