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Probability
z-scores
Logarithms
100
Two events are __________ if the probability of one event doesn't affected the probability of the other event.
What is independent?
100
The mean score for a chapter test in a math class was 86 with a standard deviation of 5. Find the probability that a test taker scored below an 80.
What is 0.1151?
100
Write as a single logarithm and identify which property you used. log 8 + log3
What is log 24 and Product Property? (8*3=24)
200
A coin is tossed and a single 6-sided die is rolled. Find the probability of landing on the head side of the coin and rolling a 3 on the die.
What is 1/12?
200
The mean score for a chapter test in a math class was 86 with a standard deviation of 5. Find the probability that a test taker scored above a 70.
What is 0.9993?
200
Evaluate the expression. 2 log 5 + log 40
What is 3?
300
True or false: If two events are independent, then P(A and B) = P(A) + P(B).
What is false? P(A and B) = P(A)*P(B)
300
As reported by the college board, the normally distributed mean math score for the SAT is 518 with a standard deviation of 115. Find the percent of SAT math scores that are less than 500.
What is 43.64%?
300
Simplify and solve the equation. Round to the nearest thousandth. ln(x+1) + ln(x-1) = 4
What is 7.456?
400
The probability of a New York teenager owning a skateboard is 0.37, of owning a bicycle is 0.81 and of owning both is 0.36. If a New York teenager is chosen at random, what is the probability that the teenager owns a skateboard or a bicycle?
What is 0.82? 0.37 + 0.81 - 0.36 = 0.82
400
As reported by the college board, the normally distributed mean reading score for the SAT is 503 with a standard deviation of 113. Find the percent of SAT math scores that are greater than 500.
What is 48.8%?
400
A culture of 10 bacteria is started, and the number of bacteria will double every hour. In about how many hours will there be 3,000,000 bacteria?
What is approximately 18.2 hours?
500
A math teacher gave her class two tests. 25% of the class passed both tests and 42% of the class passed the first test. What percent of the students passed the second test given that they passed the first test?
What is 60%? P(Second|First) = 0.25/0.42 = 0.6 = 60%
500
The weight of adult male beagles are normally distributed, with a mean of 25 pounds and a standard deviation of 3 pounds. Find the probability that the weight of a randomly selected male beagle is between 23 and 25 pounds.
What is 0.2486?
500
You put $1500 into an account that pays 7% annual interest compounded continuously. How long will it be before you have $2000 in your account?
What is 4.11 years?