Determine if each event is independent or dependent. Then find the probability. There are 2 glasses of root beer and 4 glasses of cola on the counter. Dave drinks two of them at random. What is the probability that he drank 2 glasses of cola? _______________ A bowl contains 5 oranges and 4 tangerines. Noelle randomly selects one, puts it back and then selects another. What is the probability that both selections were oranges? _______________ A green die and a red die are tossed. What is the probability that a 4 shows on the green die and a 5 shows on the red die? __________________ A bag contains 4 red, 4 green, and 7 blue marbles. Three are selected in sequence without replacement. What is the probability of selecting a red, a green, and a blue marble in that order? ___________________ When Luis plays Jose on his video game, the probability that Luis will win is 4/7. What is the probability that he will win the next four games? _______________ There are two traffic lights along the route that Laura rides from home to school. One traffic light Is red 50% of the time. The next traffic light is red 60% of the time. The lights operate on separate timers. Find the probability that these lights will both be red on Laura’s way home from school. ______________ There are 5 pennies, 7 nickels, and 9 dimes in an antique coin collection. Suppose two coins are to be selected at random from the collection. Find each probability. P( selecting 2 pennies), if no replacement occurs. _______________ P(selecting 2 pennies, if replacement occurs ______________ P(selecting the same coin twice, if no replacement occurs. ______________ Joe often speeds while driving to school In order to arrive on time. The probability that he will speed to school is 0.75. If the probability that he speeds and gets stopped by a police officer is 0.25, find the probability that he is stopped, given that he is speeding. _______________ According to one meteorologist, on a randomly chosen day in January the probability of snow in Buffalo is 65%. Given that it snows in Buffalo, the probability of snow in Toronto is 75%. What is the probability that on a randomly chosen day in January, it snows in both Buffalo and Toronto? ___________________ On an entrance examination for Fairlywell College, ¾ of the students pass the mathematics sections, 4/5 pass the English, and 2/3 pass both sections. Find the probability of each event A student will pass mathematics OR English _________________ a student will pass mathematics, given that he or she passed English _______________ A student will pass English, given that he or she passed mathematics. ______________ Medical researchers tested 1412 residents of Patterson and reported the following cholesterol levels: Below 200 200-240 Above 240 Total Male 53 372 423 Female 79 297 188 Total Find the probability that an individual in the group a) is female _________________ b) is female given that her cholesterol level is above 240 mg. _________________ c) Has cholesterol level above 240 mg given that the individual is female. _________________

Determine if each event is independent or dependent. Then find the probability. There are 2 glasses of root beer and 4 glasses of cola on the counter. Dave drinks two of them at random. What is the probability that he drank 2 glasses of cola? _______ A bowl contains 5 oranges and 4 tangerines. Noelle randomly selects one, puts it back and then selects another. What is the probability that both selections were oranges? _ A green die and a red die are tossed. What is the probability that a 4 shows on the green die and a 5 shows on the red die? __ A bag contains 4 red, 4 green, and 7 blue marbles. Three are selected in sequence without replacement. What is the probability of selecting a red, a green, and a blue marble in that order? _ When Luis plays Jose on his video game, the probability that Luis will win is 4/7. What is the probability that he will win the next four games? _ There are two traffic lights along the route that Laura rides from home to school. One traffic light Is red 50% of the time. The next traffic light is red 60% of the time. The lights operate on separate timers. Find the probability that these lights will both be red on Laura’s way home from school. There are 5 pennies, 7 nickels, and 9 dimes in an antique coin collection. Suppose two coins are to be selected at random from the collection. Find each probability. P( selecting 2 pennies), if no replacement occurs. _ P(selecting 2 pennies, if replacement occurs P(selecting the same coin twice, if no replacement occurs. Joe often speeds while driving to school In order to arrive on time. The probability that he will speed to school is 0.75. If the probability that he speeds and gets stopped by a police officer is 0.25, find the probability that he is stopped, given that he is speeding. _ According to one meteorologist, on a randomly chosen day in January the probability of snow in Buffalo is 65%. Given that it snows in Buffalo, the probability of snow in Toronto is 75%. What is the probability that on a randomly chosen day in January, it snows in both Buffalo and Toronto? ___ On an entrance examination for Fairlywell College, ¾ of the students pass the mathematics sections, 4/5 pass the English, and 2/3 pass both sections. Find the probability of each event A student will pass mathematics OR English _ a student will pass mathematics, given that he or she passed English _ A student will pass English, given that he or she passed mathematics. Medical researchers tested 1412 residents of Patterson and reported the following cholesterol levels: Below 200 200-240 Above 240 Total Male 53 372 423 Female 79 297 188 Total Find the probability that an individual in the group a) is female _ b) is female given that her cholesterol level is above 240 mg. _ c) Has cholesterol level above 240 mg given that the individual is female. _________

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Related questions

Question

Determine if each event is independent or dependent. Then find the probability.

There are 2 glasses of root beer and 4 glasses of cola on the counter. Dave drinks two of them at random. What is the probability that he drank 2 glasses of cola?
_______________
A bowl contains 5 oranges and 4 tangerines. Noelle randomly selects one, puts it back and then selects another. What is the probability that both selections were oranges?
_______________
A green die and a red die are tossed. What is the probability that a 4 shows on the green die and a 5 shows on the red die?
__________________
A bag contains 4 red, 4 green, and 7 blue marbles. Three are selected in sequence without replacement. What is the probability of selecting a red, a green, and a blue marble in that order?
___________________
When Luis plays Jose on his video game, the probability that Luis will win is 4/7. What is the probability that he will win the next four games?
_______________
There are two traffic lights along the route that Laura rides from home to school. One traffic light Is red 50% of the time. The next traffic light is red 60% of the time. The lights operate on separate timers. Find the probability that these lights will both be red on Laura’s way home from school.
______________
There are 5 pennies, 7 nickels, and 9 dimes in an antique coin collection. Suppose two coins are to be selected at random from the collection. Find each probability.
P( selecting 2 pennies), if no replacement occurs.                                    _______________
P(selecting 2 pennies, if replacement occurs              ______________
P(selecting the same coin twice, if no replacement occurs.                       ______________
Joe often speeds while driving to school In order to arrive on time. The probability that he will speed to school is 0.75. If the probability that he speeds and gets stopped by a police officer is 0.25, find the probability that he is stopped, given that he is speeding.
_______________
According to one meteorologist, on a randomly chosen day in January the probability of snow in Buffalo is 65%. Given that it snows in Buffalo, the probability of snow in Toronto is 75%. What is the probability that on a randomly chosen day in January, it snows in both Buffalo and Toronto?
___________________
On an entrance examination for Fairlywell College, ¾ of the students pass the mathematics sections, 4/5 pass the English, and 2/3 pass both sections. Find the probability of each event

A student will pass mathematics OR English _________________
a student will pass mathematics, given that he or she passed English _______________
A student will pass English, given that he or she passed mathematics. ______________
Medical researchers tested 1412 residents of Patterson and reported the following cholesterol levels:

	Below 200	200-240	Above 240	Total
Male	53	372	423
Female	79	297	188
Total

Find the probability that an individual in the group
a) is female _________________
b) is female given that her cholesterol level is above 240 mg. _________________
c) Has cholesterol level above 240 mg given that the individual is female. _________________

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