The probability that a goalkeeper can block a penalty kick is 0.6. In a certain competition, 5 penalty kicks are to be carried out. Find:
a. the probability that the goalkeeper can block 3 of the penalty kicks
b. the probability that the goalkeeper can block all of the penalty kicks
c. the probability that the goalkeeper can block at least 3 of the penalty kicks
d. the mean and standard deviation of penalty kicks blocked by the goalkeeper

step-by-step explanation:

we are given

since, we have to isolate x on anyone side

so, we can move all x terms on one side

subtract both sides by 2x

add both sides by 9

divide both sides by 4

we get

hi there!

first we need to find out how much they are adding to each number to make the next number.

ex: 4 + 4 = 8, 8 + 8 = 16, and so on.

so continuing with 32,

32 + 32 = 64

64 + 64 = 128

128 + 128 = 256

256 + 256 = 512

4, 8, 16, 32, 64, 128, 256, 512

the 8th term of the sequence will be 512

hope this ! ~