Anual tncome per household Number of students per class b DscreteContinuous d Am

Question

Anual tncome per household Number of students per class b DscreteContinuous d Amount of water used per household Discrete 2 10per hour The average number of patients ammg distribution should be used in order to find the probability that at least Of patients arriving at the emergency room next hour? a. Binomial b. Poisson d. Uniform 3. Which one of these variables is a binomial random variable? a. Number of women taller than 68 inches in a random sample of 5 women b. Time it takes for a randomly selected student to compliete a multiple-ch c. Number of textbooks a randomly selected student bought this term. d. Number of DVDs a randomly selected person owns e. Number of games played until the first win 4. Suppose hitting oil at one drilling location is independent of another and' the probability of success is 0.3. What is the expected number of diling occurs? b. 3.3 c. 1 d. 0.3 e. None of the above

Explanation / Answer

1. Identify the following variables as discrete or continuous

a. Number of defects in a 10-part sample: Discrete

b. Annual income per household: Continuous

c. Number of students per class: Discrete

d: Amount of water used per household: Continuous

e. Number of pets per household: Discrete

2. The average number of patients arriving at the emergency room is 10 per hours. In order to find probability that at least 8 patients will arrive in next hour should be calculated using Poisson distribution. Hence option b is correct

3. Which of these variables is a binomial variable?

a. Number of women taller than 68 inches in a random sample of 5 women: Binomial variable

b. Time it takes for a randomly selected student to compete a multiple choice test: Not a binomial random variable

c. Number of textbooks a randomly selected student bought this term: Not a binomial random variable

d. Number of DVDs a randomly selected person owns: Not a binomial random variable

e. Number of games played until first win: Not a binomial random variable.

4. Here we are given:

n=11

p=0.3

Let X is number of times driller hits oil.

X is a binomial variable with n=11 and p=0.3

Expected number for binomial distribution is given as

E(x) = n*p = 11*0.3=3.3

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