1. there is a drawer with 6 blue socks and 4 white socks. someone picks 2...
1. there is a drawer with 6 blue socks and 4 white socks. someone picks 2 socks at random. What’s the probability that its a matching pair of socks?
2. Suppose that in a certain country, 10% of the elderly people have diabetes. It is also known that 30% of the elderly people are living below poverty level, and 35% of the elderly population falls into at least one of these categories.
A. What proportion of elderly people in this country have both diabetes and are living below poverty level?
b. Suppose we choose an elderly person in this country ”at random.” What is the probability that the person will neither have diabetes nor be living at the poverty level?
3. A box has 5 switches, 3 of which are defective. An engineer draws switches at random from the box, one by one and without replacement, until he gets a switch that is not defective. What is the expected number of switches that he draws from the box?
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1. there is a drawer with 6 blue socks and 4 white socks.
someone picks 2...
Suppose your upper drawer has 36 different socks: 12 are white, 10 are black, 6 are...
Suppose your upper drawer has 36 different socks: 12 are white, 10 are black, 6 are pink and 8 are blue. all the socks in the drawer are unpaired/lose. In the morning you pick 2 socks at random, one at a time. Draw a probability tree to calculate: a) The probability of picking a black sock and a white sock b) The probability of picking a pair of white socks c) The probability of picking a blue sock GIVEN you...
Suppose your top drawer contains different colored socks: 4 are white, 16 are black, 6 are...
Suppose your top drawer contains different colored socks: 4 are white, 16 are black, 6 are pink, and 12 are blue. All socks in the drawer are loose (unpaired). In the morning, you randomly select two socks, one at a time. Calculate the following probabilities, writing your answer either as a decimal or a fraction. (a) What is the probability that you get a blue pair of socks? (b) What is the probability that you do not get a blue...
1. 2. 3. A drawer contains black, brown, and white socks. How many socks ensure two...
1. 2. 3. A drawer contains black, brown, and white socks. How many
socks ensure two of the same color? With 2,0,3 and 6 how many three
digits even numbers can be generated without replacements? We
selected 20 persons by the random. What is the probability that
only 3 of them have the same birthday at August? Find the
probability that only 3 of them have the common month for their
birthday?
Question 3. (20 pts.) 1. A drawer contains...
3. I have a box with 4 blue chips and 6 white chips. I randomly pull...
3. I have a box with 4 blue chips and 6 white chips. I randomly pull a chip from box 1and put it in box 2 which contains 3 blue chips and 8 white chips. Then I randomly pull a chip from box 2 and put it in box 3 which contains 6 blue chips and 3 white chips. a) What is the probability I pull a blue chip from box 3? b) What is the probability I pull a...
(+5)* 6. Suppose that a box contains 2 red balls, 3 white balls, and 4 blue...
(+5)* 6. Suppose that a box contains 2 red balls, 3 white balls, and 4 blue balls. Suppose also that balls are selected from the box one at a time, at random, without replacement. What is the probability that a) all white balls will be obtained in a row? b) both end balls are blue?
6.143 Cigarette Smoke Exposure. Researchers G. Evans and E. Kantrowitz explored the health consequences for exposure...
6.143 Cigarette Smoke Exposure. Researchers G. Evans and E. Kantrowitz explored the health consequences for exposure to many different environmental risks in the journal article "Socioe- conomic Status and Health: The Potential Role of Environmental Risk Exposure" (Annual Review of Public Health, Vol. 23, No. 1, pp. 303-331). According to research. 65% of preschool children living in poverty have been exposed to cigarette smoke at home. In comparison, 45% of preschool children not in poverty have been exposed to cigarette...
Question 17: Given the following frequency table: Rating: 0 1 2 3 4 5 6...
Question 17: Given the following frequency table: Rating: 0 1 2 3 4 5 6 7 8 Frequency: 69 17 6 3 1 2 1 0 1 What fraction of the x values fall within three standard deviations of the mean? Please enter answer in terms of a decimal. (e.g. 0.1, 0.04, 0.85) Question 24: A group of forty people at a health club were classified according to their gender and smoking habits, as shown below: Smoking Habits Gender...
(c) If you buy 4 spark plugs, what is the probability that at least one is...
(c) If you buy 4 spark plugs, what is the probability that at least one is defective? 5. At Least One Girl: Suppose a couple plans to have 4 children and the probability of a boy is 0.50. Find the probability that the couple has at least one girl. 6.* Lie Detector: Suppose a lie detector test can detect a lie 95% of the time. You get hooked up and tell 10 truths and 10 lies. What is the probability...
A three-digit number is formed from nine numbers (1, 2, 3, 4, 5, 6, 7, 8...
A three-digit number is formed from nine numbers (1, 2, 3, 4, 5, 6, 7, 8 & 9). No number can be repeated. How many different three-digit numbers are possible if 1 and 2 will not be chosen together? Select one: a. 462 b. 672 c. 336 d. 210 A tire manufacturer claims that the average life of a certain grade of tire is 50,000 miles or more when used under normal driving conditions. A random sample of 20 tires...
1. 2. 3. A drawer contains black, brown, and white socks. How many
socks ensure two of the same color? With 2,0,3 and 6 how many three
digits even numbers can be generated without replacements? We
selected 20 persons by the random. What is the probability that
only 3 of them have the same birthday at August? Find the
probability that only 3 of them have the common month for their
birthday?
Question 3. (20 pts.) 1. A drawer contains...
3. I have a box with 4 blue chips and 6 white chips. I randomly pull a chip from box 1and put it in box 2 which contains 3 blue chips and 8 white chips. Then I randomly pull a chip from box 2 and put it in box 3 which contains 6 blue chips and 3 white chips. a) What is the probability I pull a blue chip from box 3? b) What is the probability I pull a...
(+5)* 6. Suppose that a box contains 2 red balls, 3 white balls, and 4 blue balls. Suppose also that balls are selected from the box one at a time, at random, without replacement. What is the probability that a) all white balls will be obtained in a row? b) both end balls are blue?
6.143 Cigarette Smoke Exposure. Researchers G. Evans and E. Kantrowitz explored the health consequences for exposure to many different environmental risks in the journal article "Socioe- conomic Status and Health: The Potential Role of Environmental Risk Exposure" (Annual Review of Public Health, Vol. 23, No. 1, pp. 303-331). According to research. 65% of preschool children living in poverty have been exposed to cigarette smoke at home. In comparison, 45% of preschool children not in poverty have been exposed to cigarette...
(c) If you buy 4 spark plugs, what is the probability that at least one is defective? 5. At Least One Girl: Suppose a couple plans to have 4 children and the probability of a boy is 0.50. Find the probability that the couple has at least one girl. 6.* Lie Detector: Suppose a lie detector test can detect a lie 95% of the time. You get hooked up and tell 10 truths and 10 lies. What is the probability...
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