38 Questions
What is the expected number of King’s runners in the first heat?
1.25
What is the probability that there will be more than 1 King’s student in the first heat?
0.3653846154
What is the probability of getting exactly 2 fours in 5 die tosses?
0.1607510288
What is the probability that all four of the Smiths' children will be boys?
0.0625
If a batter has a 0.320 batting average, what is the probability they get exactly 1 hit in 3 chances?
0.443904
What is the expected number of hits per game if a batter has a 0.320 batting average?
0.96
If the Smiths have four children, what is the probability that at least two of them will be girls?
0.6875
How many chances does a player get per game if they have a probability distribution for number of hits given?
3
What is the probability that it takes him 5 at bats?
0.0641105763
What is the probability that it takes him less than 4 at bats?
0.715109688
What is the probability that the first defective circuit board will be the sixth one tested?
0.0212549619
What is the probability that the first defective circuit board will be among the first six tested?
0.1356315509
What is the expected number of circuit boards that would have to be tested until finding a defective one?
41.67
Using Pascal’s Identity, which of the following expressions simplifies correctly?
$\binom{n+1}{r} = \binom{n}{r-1} + \binom{n}{r}$
What is the expected value of the number of bad apples drawn from the basket of 12 apples?
1.666667
What is the probability of drawing at least one face card in a 5-card hand from a standard deck of 52 cards?
0.7468187275
In a hypergeometric probability distribution, what is the probability of drawing a specific number of success outcomes?
Depending on the number of trials
What is the expected value of the number of face cards drawn in a 5-card hand from a standard deck of 52 cards?
1.153846154
What is the probability distribution of the number of bad apples drawn from a basket of 12 apples?
Hypergeometric
What is the probability of drawing 2 face cards in a 5-card hand from a standard deck of 52 cards?
0.2509003601
What is the probability distribution of the number of students from King’s running in the first heat?
Hypergeometric
What is the expected value of the number of students from King’s running in the first heat?
1.25
What is the probability that a customer at Fiona’s Fine Foods takes exactly 5 minutes?
0.2483660131
What is the expected length of a typical sale at Fiona’s Fine Foods?
5.49
What is the probability of winning $500 in the school fundraising lottery?
$\frac{1}{400}$
What is the expected value of a ticket in the school fundraising lottery?
12.425
What would be your expected loss if you buy one lottery ticket for $25?
−12.575
What is the probability that a randomly selected high school student speaks three languages?
0.065
What is the validity criterion for the probability distribution of languages spoken by high school students?
The sum of all probabilities is equal to 1.
What is the expected number of languages spoken by a randomly selected high school student if probabilities are: $P(1) = 0.630$, $P(2) = 0.295$, $P(3) = 0.065$, $P(4) = 0.008$, $P(5) = 0.002$?
1.88
What is the probability that Pitu gets all 10 questions right?
0.00390625
If you buy ten cups of coffee with a 20% chance of winning a prize per cup, what is the expected number of prizes you would win?
2
In a batch of 100 computer chips with a 0.9% defect rate, what is the probability that exactly 1 chip is defective?
0.3677344383
What is the probability that at least 3 out of 100 computer chips are defective if the defect rate is 0.9%?
0.0620355717
In Monopoly, if the only way to get out of jail is rolling doubles, what is the probability that it takes more than 3 turns to roll doubles?
0.5787037037
How many attempts would you expect to have to roll the dice to get doubles once in Monopoly?
6
What is the probability that less than 5 out of 100 computer chips are defective with a 0.9% defect rate?
0.9978089603
What is the probability that Pitu gets at least eight questions right if $P(X ext{>=} 2)$ is 0.26171875?
0.26171875
This quiz reviews Probability Distributions, covering concepts such as creating probability distributions and analyzing time spent on tasks. It is part of the MDM4U curriculum, specifically Section 5.1.
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