Suppose that a salesperson succeeds in making a sale with one in every 3 potential...

lazarusimeon said:

(b) Suppose that a sales person succeeds in making a sale with one in every three potential customers contacted. During a particular week, ten new potential customers are contacted. Find the probability that the salesperson will succeed in making:

(i) More than two sales.
(ii) At least two sales.

(c) On average, three people per hour enter a furniture shop. In any given hour, find the probability that more than three people will enter the shop

Click to expand...

lazarusimeon said:

i have tried but still struggling so far

Click to expand...

lazarusimeon said:

(b) Suppose that a salesperson succeeds in making a salewith one in every three potential customers contacted.

This means that the probability of making a sale is 1/3. (It means that, on average, he makes one sale from three potential customers. it doesn't mean that there has to be 6 people to get 2 sales (as you have interpreted it)).

There are two possibilities - he makes a sale OR he doesn't. Two possibilities suggest a "binomial distribution". p=1/3 and q=2/3 (I assume you have learnt about this.)

During a particular week, ten new potentialcustomers are contacted. n=10

Now have a go at the questions.

Find the probability that thesalesperson will succeed in making:
(i) More than two sales. (5 marks)
(ii) At least two sales. (5 marks)
(c) On average, three people per hour enter a furnitureshop. In any given hour, find the probability thatmore than three people will enter the shop

Click to expand...

lazarusimeon said:

is this correct

Click to expand...