A certain hurricane database extends back to 1851, recording among other data the number of major hurricanes (measuring at least a Category 3) striking a certain region per year. The following table provides a probability distribution for the number of major hurricanes, Y, for a randomly selected year between 1851 and 2012. y P(Y=y) y P(Y=y) 0 0.186 5 0.041 1 0.252 6 0.027 2 0.246 7 0.011 3 0.094 8 0.104 4 0.039 f. Use the special addition rule and the probability distribution to determine the probability that the year had between 3 and 5 major hurricanes, inclusive. The probability is_______ The table below shows the probability distribution of the random variable X. x 1 2 3 P(X=x) 0.3 0.1 0.6 b. Obtain the standard deviation σ of the random variable. σ=________ The random variable X is the crew size of a randomly selected shuttle mission. Its probability distribution is shown below. Complete parts a through c. x 2 4 5 6 7 8 P(X=x) 0.035 0.032 0.324 0.168 0.435 0.006 a. Find and interpret the mean of the random variable. μ=______
A certain hurricane database extends back to 1851, recording among other data the number of major hurricanes (measuring at least a Category 3) striking a certain region per year. The following table provides a probability distribution for the number of major hurricanes, Y, for a randomly selected year between 1851 and 2012. y P(Y=y) y P(Y=y) 0 0.186 5 0.041 1 0.252 6 0.027 2 0.246 7 0.011 3 0.094 8 0.104 4 0.039 f. Use the special addition rule and the probability distribution to determine the probability that the year had between 3 and 5 major hurricanes, inclusive. The probability is_______ The table below shows the probability distribution of the random variable X. x 1 2 3 P(X=x) 0.3 0.1 0.6 b. Obtain the standard deviation σ of the random variable. σ=________ The random variable X is the crew size of a randomly selected shuttle mission. Its probability distribution is shown below. Complete parts a through c. x 2 4 5 6 7 8 P(X=x) 0.035 0.032 0.324 0.168 0.435 0.006 a. Find and interpret the mean of the random variable. μ=______
Chapter8: Sequences, Series,and Probability
Section8.7: Probability
Problem 4ECP: Show that the probability of drawing a club at random from a standard deck of 52 playing cards is...
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Binomial Distribution
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Question
A certain hurricane database extends back to 1851, recording among other data the number of major hurricanes (measuring at least a Category 3) striking a certain region per year. The following table provides a probability distribution for the number of major hurricanes, Y, for a randomly selected year between 1851 and 2012.
|
|
y
|
P(Y=y)
|
|
y
|
P(Y=y)
|
|
|---|---|---|---|---|---|---|
|
|
0
|
0.186
|
|
5
|
0.041
|
|
|
|
1
|
0.252
|
|
6
|
0.027
|
|
|
|
2
|
0.246
|
|
7
|
0.011
|
|
|
|
3
|
0.094
|
|
8
|
0.104
|
|
|
|
4
|
0.039
|
|
|
f. Use the special addition rule and the probability distribution to determine the probability that the year had between
3 and 5 major hurricanes, inclusive.
The probability is_______
The table below shows the probability distribution of the random variable X.
|
x
|
1
|
2
|
3
|
|
|---|---|---|---|---|
|
P(X=x)
|
0.3
|
0.1
|
0.6
|
b.
Obtain the standard deviation σ of the random variable.σ=________
The random variable X is the crew size of a randomly selected shuttle mission. Its probability distribution is shown below. Complete parts a through c.
|
x
|
2
|
4
|
5
|
6
|
7
|
8
|
|
|---|---|---|---|---|---|---|---|
|
P(X=x)
|
0.035
|
0.032
|
0.324
|
0.168
|
0.435
|
0.006
|
|
a. Find and interpret the mean of the random variable.
μ=______
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