The following table shows the results of a recent health survey of 400 patients from hospitals of Muscat region in which they were asked whether there had been any known history of the disease in their family.                                                                    Diease                                                   Heart     Cancer   Diabetes Family history                           88          44          38 No family history                      92          76          62   If a patient is selected at random from Muscat region hospital, what is the probability that: He has cancer.   He had a family history of their particular disease.     He has cancer and no family history of cancer.

A survey showed that 7575​% of adults need correction​ (eyeglasses, contacts,​ surgery, etc.) for their eyesight. If 2222 adults are randomly​ selected, find the probability that no more thanno more than 11 of them need correction for their eyesight. Is 11 a significantly lowlow number of adults requiring eyesight​ correction?

A survey conducted on students of XYZ University reported the number of male and female students and their majors. The data obtained are given in the following table.   Science Politics Total Men 109 13 122 Women 10 23 33 Total 119 36 155 a. What is the probability that a student majors in Science?b. What is the probability that a student majoring in Science of or being a male?c. What is the probability that a student majoring in Sciences and is given that he is a man?

A study indicates that 48% of births at a particular hospital have are by caesearian section. You randomly sample 8 births at a particular hospital. Find the probability that less than 3 are by caesearian section.

Eleven percent of American children (ages 4 to 17) have Attention Deficient Hyperactivity Disorder (ADHD) according to the Center for Disease Control. Suppose six American children in this age group are randomly selected, is the probability that at least one has ADHD unusual? Eleven percent of American children (ages 4 to 17) have Attention Deficient Hyperactivity Disorder (ADHD) according to the Center for Disease Control. Suppose six American children in this age group are randomly selected, is the probability that at least one has ADHD unusual?  No, this probability is not unusual because it is more than 0.05.  Yes, this probability is unusual because it is more than 0.05.  No, this probability is not unusual because it is within 2 standard deviations of the mean.  Yes, this probability is unusual because it is not within 2 standard deviations of the mean.  No, this probability is not unusual because it is more than 0.01.

In a study of 235,722 cell phone users, it was found that 109 developed cancer of the brain or nervous system. Assuming that cell phones have no effect, there is a 0.000477 probability of a person developing cancer of the brain or nervous system. We therefore expect about 113 cases of such cancer in a group of 235,722 people. Estimate the probability of 109 or fewer cases of such cancer in a group of 235,722 people. What do these results suggest about media reports that cell phones cause cancer of the brain or nervous system? (a) P(x ≤ 109) = (Round to four decimal places as needed.)

In 2014, the percentage of the U.S. population that speak English only in the home is 78.9%. Choose 15 U.S. people at random. What is the probability that exactly one-third of them speak English only? At least one-third? What is the probability that at least 9 do not speak English in the home?