For one toss of a certain coin, the probability that the outcome is heads is 0.6. If this coin is tossed 5 times, which of the following is the probability that the outcome will be heads at least 4 times?

A. (0.6)5(0.6)5

B. 2(0.6)42(0.6)4

C. 3(0.6)43(0.6)4

D. 4(0.6)4(0.4)+(0.6)54(0.6)4(0.4)+(0. 6)5

E. 5(0.6)4(0.4)+(0.6)5

P(x≥4) = 0.337

Step-by-step explanation: p = probability of getting head = 0.6, probability of not getting head = q = 1 - 0.6 =0.4

n = number of times experiment was performed = 5

We are to find

P(x≥4) = 1 - P(x≤3)

We can get the value of P(x≤3) using a cumulative binomial probability table.

P(x≤3) = 0.663

P(x≥4) = 1 - 0.663

P(x≥4) = 0.337

a reflection across the x-axis , followed by the by a reflection across the y-axis , and then a scale dilation of 0.5 .