Statistics

Question 18 If the distribution of weight of newborn babies in Maryland is normally distributed with a mean of 3.31 kilograms and a standard deviation of 0.52 kilograms, find the weights that correspond to the following z-scores. Round your answers to the nearest tenth, if necessary. (a) z = -1.7 kilograms (b) z = 2.68 kilograms 1. On a 5 question multiple-choice test, where each question has 2 answers, what would be the probability of getting at least one question wrong? 2. A certain virus infects one in every 500 people. A test used to detect the virus in a person is positive 90% of the time if the person has the virus and 10% of the time if the person does not have the virus. Let A be the event "the person is infected" and B be the event "the person tests positive." (a) Find the probability that a person has the virus given that they have tested positive. (b) Find the probability that a person does not have the virus given that they have tested negative. 3 A geneticist conducts an experiment with beans, one sample of offspring consisted of 449 green beans and 160 yellow beans. Based on these results, estimate the probability of getting an offspring bean that is green. Report the answer as a percent rounded to one decimal place accuracy. You need not enter the "9%" symbol. prob = Is the result reasonably close to the value of that was expected? Oyes Ono There are 14 freshmen and 16 sophomore students in a classroom. We randomly select two students. Suppose the students were selected with replacement. a) If the first student was a freshman, what is the probability that the 2nd student is also a freshman? b) If the first student was a sophomore, what is the probability that the 2nd student was a freshman? Suppose the students were selected without replacement. c) If the first student was a freshman, what is the probability that the 2nd student is also a freshman