Compute the below:
Q1. Explain the difference between theoretical probability and experimental probability with examples.
Q2. In a Physics class, 25 students own their own computer and 5 do not. If one of the students is randomly chosen, find the probability of someone who own a computer.
Q3. Listed below are the selling prices (in thousands of dollars) of a sample of 20 homes sold by agents working in Riverside County, CA. Find the probability that a randomly selected house is at least $120,000?
PRICE (in thousands of dollars)
160 148 128 178 132 145 119 109 110 125
130 111 210 152 118 105 142 95 98 245
Q4. A ball is drawn at random from a box containing 16 red balls, 15 white balls and 14 blue balls. Determine the probability that the ball drawn is:
a) red b) white c) blue d) not red.
Q5. Define multiplication rules of probability with examples:
a) When two events A and B are independent
b) When two events A and B are dependent
Q6. A coin is tossed 6 times. Find the probability of getting all heads.
Q7. A recent survey asked 100 male and 100 female respondents if they thought women in the armed force should be permitted to participate in combat. The results of the survey are shown.
Gender Yes No
Male 64 36
Female 16 84
Find the probabilities.
a) The respondent answered yes, given that the respondent was a female.
b) The respondent was a male, given that the respondent answered no.
Q8. Find the probability of exactly 2 boys in a family with 3 children assuming equal probabilities for boys and girls.
Q9. Define mutually exclusive events with example.
Q10. What is the probability of drawing either an Ace or a Queen in a single draw, from a deck of 52 cards?