The probability density of a random variable X is given in the figure below. 1 2 From this density, the probability that X > 1.74 or X < 0.14 is:

▾ Part 1 This problem involves selecting books from a shelf. Assume that the shelf holds 5 short stories and 3 novels. A student selects 5 books at random. A random variable X is defined to be the number of novels selected. How many different values are possible for the random variable X? 4 ▾ Part 2 Fill in the table below to complete the probability density function. Be certain to list the values of X in ascending order. Probability Value of X # 0 -23 1

Part 1 This problem involves selecting books from a shelf. Assume that the shelf holds 6 short stories and 2 novels. A student selects 5 books at random. A random variable X is defined to be the number of novels selected. How many different values are possible for the random variable X? 3 Part 2 Fill in the table below to complete the probability density function. Be certain to list the values of X in ascending order. Value of X 0 1 2 Probability

Use a normal approximation to find the probability of the indicated number of voters. In this case, assume that 182 eligible voters aged 18-24 are randomly selected. Suppose a previous study showed that among eligible voters aged 18-24, 22% of them voted. Probability that exactly 45 voted The probability that exactly 45 of 182 eligible voters voted is (Round to four decimal places as needed.) v an example % 5 Get more help O COPPERTENCESCONDONORM 6 M ME & ... 7 8 O Clear all ( 9 ✓ Check answer 1 0 11

Required information In a certain community, levels of air pollution may exceed federal standards for ozone or for particulate matter on some days. For a particular summer season, let X be the number of days on which the ozone standard is exceeded and let y be the number of days on which the particulate matter standard is exceeded. Assume that the joint probability mass function of X and Y is given in the following table: X 0 1 2 0 0.10 0.17 0.06 y 1 0.11 0.23 0.14 2 0.05 0.08 0.06 Find P(X= 1 and Y=0). (Round the final answer to two decimal places.)

1 point Let X denotes the number of patients who die at a certain hospital in a day. The following table gives the probability function of X. 3 4 P(X = x) 0.3 0.25 0.25 0.15 0.05 The expected number of deaths per day in the hospital is: O 1 2.4 1.7 3.3 poir

Fill in the P (X=x) values to give a legitimate probability distribution for the discrete random varlable X, whose possible values are 2, 3, 4, 5, and 6. P(x = x) Value x of X 0.26 3 0.15 0.30 2022 McGrawh Continue acer esc 5 # 4 @

SAT math scores are normally distributed with the parameters below. μ=500σ=100μ=500σ=100 What is the probability a randomly selected score is more than 460 points                           ["", "", "", "", ""]            What score separates the lowest 20% of scores from the rest?

K According to a survey, the probability that a randomly selected worker primarily drives a bicycle to work is 0.792. The probability that a randomly selected worker primarily takes public transportation to work is 0.071. Complete parts (a) through (d). (a) What is the probability that a randomly selected worker primarily drives a bicycle or takes public transportation to work? P(worker drives a bicycle or takes public transportation to work) = 0.863 (Type an integer or decimal rounded to three decimal places as needed.) (b) What is the probability that a randomly selected worker primarily neither drives a bicycle nor takes public transportation to work? P(worker neither drives a bicycle nor takes public transportation to work) = 0.137 (Type an integer or decimal rounded to three decimal places as needed.) (c) What is the probability that a randomly selected worker primarily does not drive a bicycle to work? P(worker does not drive a bicycle to work) = ☐ (Type an integer or decimal…