1. factory received a shipment of 42 compressors, and the vendor who sold the items knows there are 8 compressors in the shipment that are defective. Before the receiving foreman accepts the delivery, he samples the shipment, and if too many of the compressors in the sample are defective, he will refuse the shipment. For each of the following, give your responses as reduced fractions.If a sample of 8 compressors is selected, find the probability that all in the sample are defective. If a sample of 8 compressors is selected, find the probability that none in the sample are defective. 2. A factory received a shipment of 11 lightbulbs, and the vendor who sold the items knows there are 4 lightbulbs in the shipment that are defective. Before the receiving foreman accepts the delivery, he samples the shipment, and if too many of the lightbulbs in the sample are defective, he will refuse the shipment. Give answer as a decimal to three decimal places. (a) If a sample of 4 lightbulbs is selected, find the probability that all in the sample are defective. (b) If a sample of 4 lightbulbs is selected, find the probability that none in the sample are defective. 3. Suppose a jar contains 13 red marbles and 27 blue marbles. If you reach in the jar and pull out 2 marbles at random, find the probability that both are red. Round your answer to 4 decimal places. 4. You roll two six-sided fair dice. a. Let A be the event that either a 3 or 4 is rolled first followed by an odd number. P(A) = Round your answer to four decimal places. b. Let B be the event that the sum of the two dice is at most 7. P(B) = Round your answer to four decimal places. c. Are A and B mutually exclusive events? Yes, they are Mutually Exclusive No, they are not Mutually Exclusive d. Are A and B independent events? They are not Independent events They are Independent events 5. Lacy draws a club from a standard deck of 52 cards. Without replacing the first card, she then proceeds to draw a second card and gets a heart. Are these events independent? Input Yes or No: Determine the probability of drawing a club and then a heart without replacement. Write your answer in decimal form, rounded to four decimal places as needed. Answer = Linda draws a club from a standard deck of 52 cards. She returns the club to the deck, then draws a second card. Her second card is a heart. Are these events independent? Input Yes or No: Determine the probability of drawing a club and then a heart with replacement. Write your answer in decimal form, rounded to four decimal places as needed. Answer =
Contingency Table
A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.
Binomial Distribution
Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.
1. factory received a shipment of 42 compressors, and the vendor who sold the items knows there are 8 compressors in the shipment that are defective. Before the receiving foreman accepts the delivery, he samples the shipment, and if too many of the compressors in the sample are defective, he will refuse the shipment.
For each of the following, give your responses as reduced fractions.
If a sample of 8 compressors is selected, find the
If a sample of 8 compressors is selected, find the probability that none in the sample are defective.
2. A factory received a shipment of 11 lightbulbs, and the vendor who sold the items knows there are 4 lightbulbs in the shipment that are defective. Before the receiving foreman accepts the delivery, he samples the shipment, and if too many of the lightbulbs in the sample are defective, he will refuse the shipment. Give answer as a decimal to three decimal places.
(a) If a sample of 4 lightbulbs is selected, find the probability that all in the sample are defective.
(b) If a sample of 4 lightbulbs is selected, find the probability that none in the sample are defective.
3. Suppose a jar contains 13 red marbles and 27 blue marbles. If you reach in the jar and pull out 2 marbles at random, find the probability that both are red. Round your answer to 4 decimal places.
4.
You roll two six-sided fair dice.
a. Let A be the
P(A) = Round your answer to four decimal places.
b. Let B be the event that the sum of the two dice is at most 7.
P(B) = Round your answer to four decimal places.
c. Are A and B mutually exclusive events?
- Yes, they are Mutually Exclusive
- No, they are not Mutually Exclusive
d. Are A and B independent events?
- They are not Independent events
- They are Independent events
5. Lacy draws a club from a standard deck of 52 cards. Without replacing the first card, she then proceeds to draw a second card and gets a heart.
- Are these events independent?
- Input Yes or No:
- Determine the probability of drawing a club and then a heart
- replacement.
- Write your answer in decimal form, rounded to four decimal places as needed.
- Answer =
Linda draws a club from a standard deck of 52 cards. She returns the club to the deck, then draws a second card. Her second card is a heart.
- Are these events independent?
- Input Yes or No:
- Determine the probability of drawing a club and then a heart
- replacement.
- Write your answer in decimal form, rounded to four decimal places as needed.
- Answer =
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