**QUESTION 1**

In a recent study, a group of 50 patients with knee problems, 11 of them reported symptomatic relief with a specific medication. If the medication is given to 10 new patients with knee problems, find the probability that it is effective in

**(i)** exactly 5 patients,

**(ii)** at most 2 patients.

The number of ambulance vehicles arriving at a private hospital in a day has a Poisson distribution with an average of 5.4. Determine the probability that the number of ambulance vehicles arriving at the emergency room of a private hospital will be

**(i)** exactly three in a day,

**(ii)** at most three in two days,

**(iii)** at least two in half a day.

Barbnabbie dolls sold in a month from a large toy shop is normally distributed with a mean of 236 units and a standard deviation of 43 units.

**(i)** If the dolls are selected randomly, what is the probability that the Barbnabbie dolls sold is less than 220 units? (3 marks)

**(ii)** If 4% of the production is discarded due to defective parts, determine the number of units sold if it falls below the minimum acceptable number.

**QUESTION 2**

In a sample of 400 insurance applicants, 3% are known to have hypertension and are taking medication. What is the probability that more than 5% are with hypertension and are taking medication?

A researcher wishes to study the mean monthly expenses of the adults in Kota Kinabalu. A random sample of 85 adults is selected and they spend an average of RM1533 per month with a standard deviation of RM68. Find a 98% confidence interval for the mean monthly expenses of all adults in Kota Kinabalu.

A survey was conducted to determine the proportion of dessert shops that sold fresh fruits. From a random sample of 255 dessert shops across Malaysia, 153 sold fresh fruits as part of their menu. Obtain a 94% confidence interval for the population proportion.

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The post AAMS2613: In a recent study, a group of 50 patients with knee problems, 11 of them reported symptomatic relief with a specific medication: Probability and Statistics Assignment, TARUC appeared first on Singapore Assignment Help.