The student body of a large university consists of 60% female students. A random sample of 8 students is selected. What is the probability that among the students in the sample exactly two are female?
a. |
0.0896 |
b. |
0.2936 |
c. |
0.0413 |
d. |
0.0007 |
Solution:-
Given that p = 0.60, n = 8
P(x = 2) = 8c2 * (0.60)2 * (0.40)6
= 0.0413
So the answer is option (C) 0.0413
The student body of a large university consists of 60% female students. A random sample of...
In a large university, 15% of the students are female. If a random sample of twenty students is selected, a. what is the probability that the sample contains exactly four female students? b. what is the probability that the sample will contain no female students? c. what is the probability that the sample will contain exactly twenty female students? d. what is the probability that the sample will contain more than nine female students? e. what is the probability that...
In a large university, 20% of the students are business majors. A random sample of 100 students is selected, and their majors are recorded. d. What is the probability that the sample contains between 12 and 14 business majors?
suomi A random sample of female students at a local university was selected. Each student reported her height (in inches), and then her height was actually measured. The results were as follows. 64 Reported height 62 66 67 61 69 60 63 68 65 70 Measured height 618 64.7 67 63.8 59.469.8 59.4 61.766.3 64.1 71.3 Difference 0.2 1.3 0 0.2 1.6 -0.8 0.6 1.3 1.7 0.9 -1.3 At the 0.10 level of significance, can we conclude (by using the...
Past history shows that 45% of university students prefer Brand C cola. A random sample of 10 students is selected. What is the probability that exactly 3 of the students prefer Brand C cola?
The UWGB student body is 67% female. If a room of students consists of 42 females and 18 males, is this room of students a good fit with the UWGB student body. Test using an alpha of 0.01. a) State the null and alternate hypotheses in symbols if appropriate and words. B) The test you will use and why. C) sketch the distribution showing the rejection region. D) calculate the test statistic or p-value. E) determine whether you reject or...
Suppose that the student body in a large university have normally distributed GPAs with a mean of μ=2.91 and standard deviation σ=0.38. You randomly select a sample of n=29 students. The probability is 0.95 (with the complement split evenly between the tails) that the standard deviation of your sample will be between what two numbers? Round your answers to four decimal places. ________ ≤ s ≤ ________
Question 11-In a large statistics class. PM 100% of all students are male and the rest are female. The heights of all male students follow a normal distribution with mean Ax and standard deviation σΜ. The heights of all female students follow a normal distribution with mean Mr and standard deviation σ Suppose a random sample of n students is selected independently. Let H be the mean height of these n randomly selected students. a. Determine E[H) and Va[FI /...
A sample of 271 students at a university is surveyed. The students are classified according to gender ("female" or "male"). They are also dassified according to major (biology", "business", "engineering". "mathematics", or "computer science"). The results are given in the contingency table below. Biology Business Engineering Mathematics Computer science Female 31 18 25 22 24 Male 21 23 21 8 08 38 18 What is the relative frequency of female students in the sample? Round your answer to two decimal...
A group consists of 18 students, 12 of which are females. If two students are selected at random from the group, one at a time and without replacement, what is the probability that the second student selected is female?
A group consists of 16 students, 6 of which are females. If two students are selected at random from the group, one at a time and without replacement, what is the probability that the second student selected is female? (answer to 4 decimal places)