One hundred ninety two families (for each of which the possibility of an albino child being born is otherwise established) had the following distribution of albino among the first three children. No. of Children 1 2 3 Total No. of Families 77 90 20 192 Fit the expected frequencies on the basis of a theoretical probability 0.25 of a child being born an albino.
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- In the probability distribution to the right, the random variable X represents the number of marriages an individual aged 15 years or older has been involved in. Compute and interpret the mean of the random variable X Px = marriages (Type an integer or a decimal. Do not round.) Which of the following interpretations of the mean is correct? O A. If many randomly selected individuals aged 15 years or older were surveyed, the observed number of marriages will be equal to the mean number of marriages for most individuals. OB. If many randomly selected individuals aged 15 years or older were surveyed, the observed number of marriages will be less than the mean number of marriages for most individuals OC. If many randomly selected individuals 40 to 49 years of age were surveyed, the sample mean number of marriages should be close to the mean of the random variable. OD. If many individuals aged 15 year or older were surveyed, the sample mean number of marriages should be close to the mean of…The ages of students in a middle school have the following probability distribution: x 12 13 14 15 P(x) 0.25 0.29 0.32 0.14 a) What is the probability a student chosen at random is no less than 13 years old? b) What is the mean age of the students in middle school? c) What is the standard deviation for the ages of the students in the middle school?Three items are drawn in randomly from a population of 7 items. The item drawn may be defective or non-defective. Random variable is the occurrence of non-defective items. Total defective items in the population are two.a. Make a frequency distribution table of the random variable. b. Find the expected value of non-defective items in the random experiment.
- Example: Suppose the mean of the number of unproductive days for a certain large segment of the population in a given year is 5.4 and the standard deviation is 2.8 days. Find the probabilities that average number of unproductive days of a random sampling of 49 from this environment is: a. more than 6 days b. between 4 and 6 days.A pharmaceutical company receives large shipments of aspirin tablets. The acceptance sampling plan is to randomly select and test 22 tablets, then accept the whole batch if there is only one or none that doesn't meet the required specifications. If a particular shipment of thousands of aspirin tablets actually has a 6% rate of defects, what is the probability that this whole shipment will be accepted? ... The probability that this whole shipment will be accepted is (Round to three decimal places as needed.)Which one of the following probabilities is cumulative probability? 1.The probability that there are exactly 4 people with o positive blood in a sample of 10 people. 2. The probability of exactly 3 heads in 6 flips of a coin 3. The probability that the accumulated annual rainfall in a certain city next year, rounded to the nearest inch, will be 18 inches. 4. The probability that a randomly selected woman's height is 67 inches or less
- The table below lists a random sample of 50 speeding tickets on a highway 0-10 mph over limit 10-20 mph over limit More than 20 mph over limit Male 5 16 14 Female 3 8 4 Use the table to answer the following questions. (a) If a random ticket was selected, what would be the probability that the driver was female? (b) Given that a particular ticket had a male offender, what is the probability that they were more than 20 mph over the limit? (c) Given that a particular ticket was 10-20 mph over the limit, what is the probability that the driver was female?Which of the following random variable follows a continuous distribution? A. The outcome of rolling a die. B. The outcome of flipping a coin C. Next year's demand which is assumed to have 5 possible outcomes. D. A person's hight.About 69% of people who are murdered knew the person who committed the murder. Suppose that Detective Williams's case load currently has 49 unsolved murders. Use a nomal distribution approximation to the binomial distribution to find the following probabilities: a. What is the probability that at least 30 of the victims among Detective Williams's case files knew their murderer? b. What is the probability that between 30 and 39 of the victims knew their murderer?
- Of all the students, 44% own an iPhone, with a standard deviation of .03 For that same sample of 400 students, what is the probability that at least 42% of them own an iPhone?Answer number 3Suppose you have an experiment where you draw three cards (with replacement) from a standard deck of 52 cards. You then count the number of aces drawn. Use this experiment to address each of the following questions. Round solutions to four decimal places, if necessary. The mean of a discrete probability distribution is also notated by Select an answer C Which of the following is the correct interpretation of the mean? Select an answer e) Find the standard deviation for the number of aces drawn when three cards are randomly selected. σ= f) Find the probability of drawing two or less aces. P(two or less aces)