Answer:
Kindly check explanation
Step-by-step explanation:
Given the scenario above :
A) State the random variable.
The random variable is the p opoertion of brown M&M's in a milk chocolate packet.
B.) Argue that this is a binomial experiment.
Each trial is independent for a total number of 52 trials with a set probability of success at 0.14
C) probability that 6 M&M's are brown:.
P(x) = nCx * p^x * (1-p)^(n-x)
p = 0.14 ; (1 - p) = 0.86 ; n = 52 ; x = 6
P(x = 6) = 52C6 × 0.14^6 × 0.86^46
= 20358520 × 0.00000752954 × 0.00097035078
= 0.1487
D) P(x =25)
P(x = 25) = 52C25 × 0.14^25 × 0.86^27
= 477551179875952 × 449.987958058*10^(-24) × 0.01703955245
= 0.00000000366
E) P(x = 52)
P(x = 52) = 52C52 × 0.14^52 × 0.86^0
= 1 × 3968.78758299*10^(-48) × 1
= 3968.78758299*10^(-48)
F) yes it would be unusual, because such probability is extremely low. However, if a huge or substantial number of trials such may occur
