. A shipment of parts contains 120 items of which 10 are defective. wo of these items are randomly chosen and inspected. Let X denote he number that are defective. Find the probability distribution of X.
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A: P(A|B)= P(A∩B)P(B)
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A: P(A|B) = P(A∩B)P(B)
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- Suppose that 80% of American homes have a microwave oven. Let X be the number of American homes in a random sample of n=20 that have a microwave oven. Find the probability that X is at most 18 and at least 16.A test was given to a group of students. The grades and gender are summarized below A B C Total Male 15 2 9 26 Female 5 20 7 32 Total 20 22 16 58 If one student is chosen at random from those who took the test,Find the probability that the student was female GIVEN they got an 'A'.A test was given to a group of students. The grades and gender are summarized below A B C Total Male 13 18 4 35 Female 5 3 11 19 Total 18 21 15 54 If one student is chosen at random from those who took the test,Find the probability that the student was female GIVEN they got a 'B'.
- 1. Use this table for the following questions: Female Male TotalShort Hair 20 40 60 Long Hair 30 10 40 Total 50 50 100 a. Complete a total probability table.b. Complete a row probability tablec. Complete a column probability table.d. The probability that a student does not have long hair. _________e. The probability that a student is male or has short hair. ________f. The probability that a student is a female and has long hair. _________g. The probability that a student is male, given that the student has long hair. _________h. The probability that a student has long hair, given that the student is male. _________i. Of all the female students, the probability that a student has short hair. ________j. Of all students with long hair, the probability that a student is female. _________k. The probability that a student is female or has long hair.…Suppose that a screening test diagnoses 97% of sick people positive and 95% of healthy people negative. Assume that 7% of those screened are sick. If a screened person is chosen at random, then the probability of having a positive diagnosis is: O a. 0.0184 O b. 0.886 Oc. 0.406 O d. 0.594 O e. 0.114 Next p vity Jump to.. 2021A test was given to a group of students. The grades and gender are summarized below If one student is chosen at random from those who took the test, Find the probability that the student was female GIVEN they got a 'B'.
- A test was given to a group of students. The grades and gender are summarized below C. Total Male 2. 16 Female 10 17 15 42 Total 15 19 24 58 If one student is chosen at random from those who took the test, Find the probability that the student was female GIVEN they got a 'C.A test was given to a group of students. The grades and gender are summarized below A B C Total Male 2 15 3 20 Female 14 8 18 40 Total 16 23 21 60 If one student is chosen at random from those who took the test,Find the probability that the student was female GIVEN they got a 'A'.A jar contains 12 coins: 6 pennies, 2 nickels and 4 dimes. A child selects 2 coins at random without replacement from the jar. Let X be the sum of the value of the 2 coins. Determine the probability distribution of X. Please enter the values for x in increasing order. Round your answers to three decimal places, if necessary. Hint: If you are picking two different coins, remember that you can pick one first, then the other or the other way around, and you will still end up with the same two coins. X P(X = x) 2 0.015 If you were to randomly draw two coins from this jar, how many cents do you expect to have on average? (Averages of discrete things CAN be decimals!)
- A test was given to a group of students. The grades and gender are summarized below A B C Total Male 5 2 9 16 Female 13 18 14 45 Total 18 20 23 61 If one student is chosen at random from those who took the test,Find the probability that the student got a 'A' GIVEN they are male.A test was given to a group of students. The grades and gender are summarized below A B C Total Male 16 17 7 40 Female 12 19 3 34 Total 28 36 10 74 If one student is chosen at random from those who took the test,Find the probability that the student was female GIVEN they got an 'A'.A test was given to a group of students. The grades and gender are summarized below A B C Total Male 15 14 4 33 Female 7 19 13 39 Total 22 33 17 72 If one student is chosen at random from those who took the test, Find the probability that the student got a 'A' GIVEN they are female.
