![blacee01](/avatars/40202.jpg)
blacee01
12.06.2020 •
Mathematics
3.14 The waiting time, in hours, between successive speeders spotted by a radar unit is a continuous random variable with cumulative distribution function F(x) = 0, x< 0, 1 − e−8x, x ≥ 0. Find the probability of waiting less than 12 minutes between successive speeders (a) using the cumulative distribution function of X; (b) using the probability density function of X.
Solved
Show answers
More tips
Answers on questions: Mathematics
- M Mathematics Solve x in the triangle. Round your answer to the nearest tenth...
- M Mathematics How do you do this and what would the answer be....
- M Mathematics Mr. Martinez is buying food for a party. Hamburger patties are sold in packages of 6 and hamburger buns are sold in packages of 8. If he wants to have an equal number of each,...
- M Mathematics Can anyone help me with advanced algebra...
- M Mathematics I need help again i m confusion...
- M Mathematics Devon has a stamp collection. He has 62 pages of stamps. There is an average of 30 stamps per page. About how many stamps does Devon have in his collection?...
- M Mathematics Drag the phrases into the box to match each expression. 4x−5 4(x−5) 4(x+5)...
- M Mathematics Through:(-5,5), slope= -1/10...
- M Mathematics Help answer 1 and 2 pls...
- M Mathematics 5 3/8 x 2 1/2 Sorry, I’m in a test. :’...
Ответ:
(a) The probability of waiting less than 12 minutes between successive speeders using the cumulative distribution function is 0.7981.
(b) The probability of waiting less than 12 minutes between successive speeders using the probability density function is 0.7981.
Step-by-step explanation:
The cumulative distribution function of the random variable X, the waiting time, in hours, between successive speeders spotted by a radar unit is:
(a)
Compute the probability of waiting less than 12 minutes between successive speeders using the cumulative distribution function as follows:
The probability is:
Thus, the probability of waiting less than 12 minutes between successive speeders using the cumulative distribution function is 0.7981.
(b)
The probability density function of X is:
Compute the probability of waiting less than 12 minutes between successive speeders using the probability density function as follows:
Thus, the probability of waiting less than 12 minutes between successive speeders using the probability density function is 0.7981.
Ответ:
for both of the them the range geografeclly is 1 up