Question

f. A restaurant chef prepares a tossed salad containing, on average, 5 vegetables per day. Find the probability that the salad contains more than 7 vegetables on i) a given day and on ii)3 of the next 6 days?

Answer 1

Answer:

Step-by-step explanation:

Given that a restaurant chef prepares a tossed salad containing, on average, 5 vegetables per day.

We can assume the number of vegetables used by the chef per day is

Poisson with parameter = mean = 5

We are to find the probability that the salad contains more than 7 vegetables on i) a given day and on ii)3 of the next 6 days?

a) P(no of vegetables >7) = 1-F(7) = 1-0.8666

=0.1334

b) For 6 days we can say each day is independent of the other

Prb( veg >3) for 6 days

= P(veg>3)^6

$=(1-0.2650)^6\\=0.1576$