5. For the given pair of events A and B, complete parts (a) and (b) below.
A: A marble is randomly selected from a bag containing 10 marbles consisting of 1 red, 6 blue, and 3
green marbles. The selected marble is one of the green marbles.
B: A second marble is selected and it is the 1 red marble in the bag.
B.
b. The probability that events A and B both occur is____
(Round to four decimal places as needed.)
7.The accompanying table contains the results from experiments with a polygraph instrument. Find the probabilities of the events in parts (a) and (b) below. Are these events unlikely?
_ No_(Did_Not_Lie) Yes_(Lied)
Positive_test_result 9 22
Negative_test_result 40 15
a. Four of the test subjects are randomly selected with replacement, and they all had true negative test results.
b. Four of the test subjects are randomly selected without replacement, and they all had true negative test results.
a. The probability that all four test subjects had a true negative test result when they are randomly selected with replacement is
(Round to three decimal places as needed.)
Is such an event unlikely?
Yes, because the probability of the event is greater than 0.05
No, because the probability of the event is greater than 0.05
Yes, because the probability of the event is less than 0.05
No, because the probability of the event is less than 0.05
B. The probability that all four test subjects had a true negative test result when they are randomly selected without replacement is____
(Round to three decimal places as needed.)
Is such an event unlikely?
Yes, because the probability of the event is greater than 0.05
No, because the probability of the event is greater than 0.05
Yes, because the probability of the event is less than 0.05
No, because the probability of the event is less than 0.05
Dear student, please post the quest one at a time.
5)The probability that events A and B both occur
is
The probability that the marble is selected green marble
=
The probability that the second marble is red marble given that
the first marble is green( there is a total of 9 marbles and 1 red
marble) =
b)The probability that events A and B both occur is =
5. For the given pair of events A and B, complete parts (a) and (b) below....
For the given pair of events A and B, complete parts (a) and (b) below. A: A marble is randomly selected from a bag containing 15 marbles consisting of 1 red, 11 blue, and 3 green marbles. The selected marble is one of the green marbles. B: A second marble is selected and it is the 1 red marble in the bag. a. Determine whether events A and B are independent or dependent. (If two events are technically dependent but...
6. Refer to the table below. Given that 2 of the 151 subjects are randomly selected, complete parts (a) and (b). Rh + Rh - O 43 14 A 38 12 B 16 6 AB 19 3 A. . Assume that the selections are made with replacement. What is the probability that the 2 selected subjects are both group Upper A and type Rh Superscript Rh+? ____(Round to four decimal places as needed.) b. Now assume the selections are made...
2. For the given pair of events A and B, complete parts (a) and (b) below. A: When a page is randomly selected and ripped from a 16-page document and destroyed, it is page 5. B: When a different page is randomly selected and ripped from the document, it is page 7. a. Determine whether events A and B are independent or dependent. (If two events are technically dependent but can be treated as if they are independent according to...
13.The data in the following table summarize results from 157 pedestrian deaths that were caused by accidents. If three different deaths are randomly selected without replacement, find the probability that they all involved intoxicated drivers. _ Pedestrian_Intoxicated Pedestrian_Not_Intoxicated Driver_Intoxicated 4 20 Driver_Not_Intoxicated 10 123 The probability is____ (Round to six decimal places as needed.) Is such an event unlikely no, because its probability is greater than 0.05 Yes, because its probability is greater than 0.05 no, because its probability is...
4. Consider a bag that contains 221 coins of which 4 are rare Indian pennies. For the given pair of events A and B, complete parts (a) and (b) below. A: When one of the 221 coins is randomly selected, it is one of the 4 Indian pennies B: When another one of the 221 coins is randomly selected (with replacement), it is also one of the 4 Indian pennies. a. Determine whether events A and B are independent or...
10. The principle of redundancy is used when system reliability is improved through redundant or backup components. A region's government requires that commercial aircraft used for flying in hazardous conditions must have two independent radios instead of one. Assume that for a typical flight, the probability of a radio failure is 0.0028. What is the probability that a particular flight will be threatened with the failure of both radios? Describe how the second independent radio increases safety in this case....
In a recent year, the scores for the reading portion of a test were normally distributed, with a mean of 23.7 and a standard deviation of 5.3. Complete parts (a) through (d) below. (a) Find the probability that a randomly selected high school student who took the reading portion of the test has a score that is less than 19. The probability of a student scoring less than 19 is (Round to four decimal places as needed.) (b) Find the probability that a randomly selected...
For the given pair of events A and B, complete parts (a) and (b) below. A: When a page is randomly selected and ripped from a 13-page document and destroyed, it is page 9. B: When a different page is randomly selected and ripped from the document, it is page 11. a. Determine whether events A and B are independent or dependent. (If two events are technically dependent but can be treated as if they are independent according to the...
2. A bag has 12 green marbles and 9 blue marbles.on b imobat delon crida naintes a) If one marble is randomly selected, find the probability that the marble is green. erug? TOE Tin to vilidados bibit vinobr n ovid 257 b) If two marbles are randomly selected without replacement, find the probability that both are blue. If two marbles are randomly selected with replacement, find the probability that one marble is blue and one marble is green.
2. A bag has 12 green marbles and 9 blue marbles.on b imobat delon crida naintes a) If one marble is randomly selected, find the probability that the marble is green. erug? TOE Tin to vilidados bibit vinobr n ovid 257 b) If two marbles are randomly selected without replacement, find the probability that both are blue. If two marbles are randomly selected with replacement, find the probability that one marble is blue and one marble is green.