The joint probability distribution of two random variables X, Y is indicated in the table below. Based on the information in the table, find each of the following three probabilities.

Students at University X must have one of four class ranks-freshman, sophomore, junior, or senior. At University X, 35% of the students are freshmen and 30% are sophomores. If a University X student is selected at random, the probability that he or she is either a junior or a senior is a 70% 35% 30% O d 65% O O o O

Oliver has a bag that contains pineapple chews, lemon chews, and peach chews. He performs an experiment. Oliver randomly removes a chew from the bag, records the result, and returns the chew to the bag. Oliver performs the experiment 23 times. The results are shown below: A pineapple chew was selected 17 times. A lemon chew was selected 4 times. A peach chew was selected 2 times. Based on these results, express the probability that the next chew Oliver removes from the bag will be peach chew as a percent to the nearest whole number.

Ryan has a bag that contains strawberry chews, cherry chews, and watermelon chews. He performs an experiment. Ryan randomly removes a chew from the bag, records the result, and returns the chew to the bag. Ryan performs the experiment 55 times. The results are shown below: A strawberry chew was selected 15 times. A cherry chew was selected 20 times. A watermelon chew was selected 20 times. Based on these results, express the probability that the next chew Ryan removes from the bag will be cherry or watermelon as a fraction in simplest form.

Based on a survey, assume that 39% of consumers are comfortable having drones deliver their purchases. Suppose that we want to find the probability that when six consumers are randomly selected, exactly three of them are comfortable with delivery by drones. Identify the values of N,x,p, and q

The average number of children a Japanese woman has in her lifetime is 1.37. Suppose that one Japanese woman is randomly chosen.  In words, define the random variable X.  List the values that X may take on. Find the probability that she has no children. Find the probability that she has fewer children than the Japanese average. Find the probability that she has more children than the Japanese average.

Find the indicated probability.Find the probability of exactly 9 girls in 10 births. Assume that male and female births are equally likely and that the births are independent events.

Three marbles are in a jar-one white, one blue and one green. Two marbles are picked one at a time with replacement. Let X be the number of blue marbles picked. Construct the probability distribution by matching random variable to its corresponding probability.

In a jury trial, suppose the probability the defendant is convicted given guilt, is 0.95, and the probability the defendant is acquitted given innocence is 0.95. Suppose 90% of defendants are truly guilty. Given that the defendant is convicted, find the probability that he was actually guilty.

Based on a​ survey, assume that 27​% of consumers are comfortable having drones deliver their purchases. Suppose that we want to find the probability that when five consumers are randomly​ selected, exactly two of them are comfortable with delivery by drones. Identify the values of​ n, x,​ p, and q.