10.Suppose that you have bought 3 large glass-fronted cabinets. You have three workers, A, B and C, to help you with transporting the cabinets from the furniture store to your home, and you want them to finish it in (at most) one trip each. From past experience, it is known that the probability that A breaks something in a given trip is 10%, the probability that B breaks something in a given trip is 15%, and the probability that C breaks something in a given trip is 20%. The events that A, B, or C breaks something in a given trip are independent of each other. You come up with three strategies: (a) A transports all the furniture, (b) A transports two cabinets and B transports one cabinet, or (c)

Step-by-step explanation:

To find the expected no of broken cabinets for each strategy.

If A transport all the furniture

Suppose X₁ = number of furniture A broken

X₁ follows a binomial with n = 3, p = 0.10

E(X₁) = np

E(X₁) = 3 × 0.1

E(X₁) = 0.3

If A transport two (2) cabinets & B transport one (1) cabinet

expected no. of the broken cabinet by A out of 2 is

= 2 × 0.1

= 0.2

Suppose X₂ denotes the no of broken furniture by B

E(X₂) = np

where n= 1 and p = 0.15

E(X₂) = np

E(X₂) = 1 × 0.15

E(X₂) = 0.15

Thus. the expected number of broken cabinets = 0.2 + 0.15 = 0.35

He made a reasonable inference.

Step-by-step explanation:

Rodriguez asked 60 randomly chosen students about their favorite types of reading materials.

Of those 60 students, 12 chose science fiction.

In percent this is about %

Mr. Rodriguez drew an inference that about 20% of middle school students prefer to read science fiction.

We can see that this inference is correct. He made a reasonable inference as his sampling was non biased and completely random.