A certain AP® Statistics teacher is feeling generous one day and decides that each student deserves some extra credit. The teacher assigns each student a random extra credit value between 0 and 5 (decimals included) by using 5*rand on the calculator. Let Y = amount of extra credit for a randomly selected student. The probability distribution of Y can be modeled by a uniform density curve on the interval from 0 to 5. Find the probability that a randomly selected student will get more than 3 points of extra credit. %3D ge epsbe ce
A certain AP® Statistics teacher is feeling generous one day and decides that each student deserves some extra credit. The teacher assigns each student a random extra credit value between 0 and 5 (decimals included) by using 5*rand on the calculator. Let Y = amount of extra credit for a randomly selected student. The probability distribution of Y can be modeled by a uniform density curve on the interval from 0 to 5. Find the probability that a randomly selected student will get more than 3 points of extra credit. %3D ge epsbe ce
A certain AP® Statistics teacher is feeling generous one day and decides that each student deserves some extra credit. The teacher assigns each student a random extra credit value between 0 and 5 (decimals included) by using 5*rand on the calculator. Let Y = amount of extra credit for a randomly selected student. The probability distribution of Y can be modeled by a uniform density curve on the interval from 0 to 5. Find the probability that a randomly selected student will get more than 3 points of extra credit. %3D ge epsbe ce
A certain AP® Statistics teacher is feeling generous one day and decides that each student deserves some extra credit. The teacher assigns each student a random extra credit value between 0 and 5 (decimals included) by using 5*and on the calculator. Let Y = amount of extra credit for a randomly selected student. The probability distribution of Y can be modeled by a uniform density curve on the interval from 0 to 5. Find the probability that a randomly selected student will get more than 3 points of extra credit.
PROBLEM:
The weights of 3-year-old females closely follow a Normal distribution with a mean of m 5 30.7 pounds and a standard deviation of 3.6 pounds. Suppose we randomly choose a 3-year-old female and call her weight X. What is the probability that she weighs at least 30pounds?
Transcribed Image Text:ALTERNATE EXAMPLE (page 372)
Extra credit
Continuous random variables
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PROBLEM:
A certain AP® Statistics teacher is feeling generous one day and decides that each student
deserves some extra credit. The teacher assigns each student a random extra credit value
between 0 and 5 (decimals included) by using 5*rand on the calculator.
Let Y = amount of extra credit for a randomly selected student. The probability distribution
of Y can be modeled by a uniform density curve on the interval from 0 to 5. Find the
probability that a randomly selected student will get more than 3 points of extra credit.
%3D
wop does the probeblay distribe
ALTERNATE EXAMPLE (373)
Weights of 3-year-old females
Normal probability distributions
PROBLEM:
The weights of 3-year-old females closely follow a Normal distribution with a mean of m 5
30.7 pounds and a standard deviation of 3.6 pounds. Suppose we randomly choose a 3-
year-old female and call her weight X. What is the probability that she weighs at least 30
pounds?
Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.
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ALTERNATE EXAMPLE (373)
Weights of 3-year-old females
Normal probability distributions
PROBLEM:
The weights of 3-year-old females closely follow a Normal distribution with a mean ofm 5
30.7 pounds and a standard deviation of 3.6 pounds. Suppose we randomly choose a 3-
year-old female and call her weight X. What is the probability that she weighs at least 30
pounds?