A pi__ is a container filled with toys and candy and is broken open by hitting it with a stick….

A pi__ is a container filled with toys and candy and is broken open by hitting it with a stick. The drawing below shows Pricia trying to break a pirata. The probability that she will break the piata on the first hit is 0.4. She will continue to hit the plata until it breaks. If she does not break the piata on a particular hit, the piata is weakened and the probability that she will break it on the next hit is 0.15 greater than the probability on the previous hit. For example, if the pi__ does not break on the first hit the probability that it will break on the second hit is 0.55. Let the

View complete question A pi__ is a container filled with toys and candy and is broken open by hitting it with a stick. The drawing below shows Pricia trying to break a pirata. The probability that she will break the piata on the first hit is 0.4. She will continue to hit the plata until it breaks. If she does not break the piata on a particular hit, the piata is weakened and the probability that she will break it on the next hit is 0.15 greater than the probability on the previous hit. For example, if the pi__ does not break on the first hit the probability that it will break on the second hit is 0.55. Let the random variable he defined as the number of hits on the piata until it breaks. a) What type of random variable is H? Be very specific and justify your answer. 2 pts A random variable could be continuous, uniform continuous normal continuous discreet, binomial discreet, geometric discreet, or other. The AHOD O S there isnt tired number of trials. 5) Calculate the probability that Pricila does not break the piata on the first hit and does break the pi__ on the second hit. Show your work 2 pts 4 pts c) Make the probability distribution for R. H 22 PH) T . . . 01361 HINT. Remember all probabilities of a probability distribution must add to 11 .00 4 pts Describe the distribution for H. Show all work and write in complete sentences. Listribution H is skew fight, am can of 2.42 and a standard deviation of 1.76613. e) What is the probability the number of hits required for Pricila to break the piata is more than one standard deviation away from the mean? Show your work 2 pts The heights of married men are approximately normally distributed with mean 70 inches and standard deviation 3 inches. The heights of married women are approximately normally distributed with mean 65 inches and standard deviation 2.5 inches. The random variable M will represent the height of a randomly selected married man and the random variable W will represent the height of a randomly selected married woman. SHOW ALL WORK. a) If a randomly selected married man is chosen, what is the probability he is taller than 72 inches? 2 pts The probability a randomly selected man is taller than 72inches is 254b. b) If a randomly selected married women is chosen, what is the probability her height is within 3 inches of the mean? 2 pts Fritt 3.7.. c) What is the interquartile range of the M distribution? 3 pts Inverse honen! Q2- 1 Quartiles- Quantle d) Consider the distribution W-M. Describe this distribution. Be very specific. 3 pts shophrotturator Center: 65-70= -5 SU: 3.40512053745 e) Suppose that a married man is selected at random and a married woman is selected at random. What is the probability that the woman is taller than the man?! 3 pts noline f) In a random sample of 400 married couples, there were 20 couples in which the wife was taller than the husband, and there were 380 couples for which the wife was shorter than the husband. Based on your result from part (e), are the heights of wives and their husbands independent? Explain your reasoning. 2 pts

View less