Statistics and Probability Answers

a shopkeeper has three varieties of oranges which he sells at the rate 6 rupees for dozen,5 rupees for dozen and 3 rupees for dozen.what is his average rate

angela has a 3-sided spinner, the sides are numbered 1, 2 , 3. angela spins the spinner once. choose the word that best describes the probability that the spinner will land on a number less that 4. impossible, unlikely, even chance, likely, certain? .

A coin is tossed 10,000 times, and it lands on heads 5180 times. Would you say that the coin is biased? How would you formulate your null and alternative hypothesis?

One box contains 3 red balls, white balls, and one blue ball. A second box contains one red ball, 2 white balls, and 3 blue balls.
a. If one ball is selected at random from each box. Find the probability that the balls will be of the same color.
b. If the balls in the two boxes are mixed together in a single box and then a sample of 3 is drawn. Find the probability that all 3 colors are represented both when sampling with replacement and when sampling without replacement.

The probability that an American industry will locate in Cebu City 0.7, the probability that it will locate in Cagayan City is 0.4, and the probability that it will locate in either Cebu City or Cagayan City or both is 0.8. What is the probability that the industry will locate (a) in both cities? (b) in neither city?

The probability that a doctor correctly diagnoses a particular illness is 0.7. Given that the doctor makes an incorrect diagnosis, the probability that the patient enters a law suit is 0.9. What is the probability that the doctor makes an incorrect diagnosis and the patient sues.

If four cards are chosen from a well-shuffled deck of cards, what is the probability of selecting 1 black card and 3 red cards?

The probability that a married man watches a certain television show is 0.4 and the probability that a married woman watches the show is 0.5. The probability that a man watches the show, given that his wife does, is 0.7. Find the probability that
a) a married couple watches the show
b) a wife watches the show given that her husband does;
c) at least 1 person of a married couple will watch the show.

A family has three children.

Using b to stand for boy and g for girl give the following. (To indicate that the first child is a boy, the second child is a boy, and the third child is a girl enter bbg. Enter your answers as a comma-separated list.)
(a) the sample space
S =




(b) the event E that the family has exactly two daughters
E =




(c) the event F that the family has at least two daughters
F =




(d) the event G that the family has three daughters
G =



Give the following. (Assume that boys and girls are equally likely. Enter your probabilities as fractions.)
(e) p(E)


(f) p(F)


(g) p(G)


(h) o(E)


(i) o(F)


(j) o(G)

QUESTION 1

Physicians use pulse rate to assess the health of patients. A pulse rate that is abnormally high or low suggests that there might be some medical issues. For example, a pulse rate that is too high might indicate that the patient has an infection or is dehydrated. Consider pulse rate measurements (in beats per minute) obtained from a simple random sample of 40 males and another simple random sample of 40 females as shown in Table 1.

Table 1 : Pulse Rates (beats per minute) of Males and Females
Males
68 64 76 56 84 72 60 56 88 56
64 72 60 64 76 56 68 84 56 60
88 60 96 60 84 68 60 72 64 64
72 88 72 64 88 60 60 84 56 72

Females
76 72 68 68 68 64 76 60 88 95
72 68 68 72 72 80 80 76 80 88
88 80 80 96 64 76 104 72 60 108
60 64 76 72 80 96 88 72 72 64

a) Prepare a frequency distribution table for the pulse rates of males and females separately. Take 10 as a class width for both distributions and 50 as a lower limit of the first class for the males; 60 as a lower limit of the first class for the female