file attached
Questions
A sample of 123 randomly selected students found that the proportion of the students planning to travel home for Thanksgiving is 0.76. What is the standard deviation of the sampling distribution? Round to 3 decimal digits.
A manufacturing process produce auto tire. A sample of miles at replacement is recorded in DATA. At what mileage should the warranty be set at for warranty replacement of 0.5% of the tires?
52545
50460
54417
51558
51056
50734
51158
51067
49143
49524
53708
50538
48832
48237
49177
46418
48579
48401
51938
51389
50728
48467
49114
48692
48770
51243
50926
50869
50736
52367
48718
46921
50650
51635
47924
51407
50556
46490
50374
50980
48776
52456
45504
48888
49397
50460
48749
51134
51634
47974
A manufacturing process has acceptance limits 100 +or-3. A recent sample produced the measurement in file DATA. Assuming normal distribution, what percentage of the population does not meet the acceptance limits.
| 100.896 |
| 100.722 |
| 101.110 |
| 100.319 |
| 99.266 |
| 101.104 |
| 99.769 |
| 99.228 |
| 98.805 |
| 99.568 |
| 99.339 |
| 99.585 |
| 101.680 |
| 99.903 |
| 99.604 |
| 100.550 |
| 98.260 |
| 100.078 |
| 98.515 |
| 98.010 |
| 101.011 |
| 98.809 |
| 98.522 |
| 100.177 |
| 101.138 |
| 100.055 |
| 99.566 |
| 100.500 |
| 100.159 |
| 100.835 |
| 100.075 |
| 99.347 |
| 101.199 |
| 99.749 |
| 99.327 |
| 98.384 |
| 101.632 |
| 101.176 |
| 99.874 |
| 99.879 |
| 98.219 |
| 101.103 |
| 100.066 |
| 100.399 |
| 102.906 |
| 100.808 |
| 98.304 |
| 99.527 |
| 98.534 |
| 99.898 |
For a normal distribution with a mean of 119 and standard deviation of 48, what is the Z value for a random value to be 174? (use 2 decimal digits.)
Based on the empirical rule (also call the 68-95-99.7 rule). what part of all possible value occur between -3 and +1 standard deviations?
Given a survivor of the titanic is a man, what is the probability, rounded to the nearest whole percent, the survivor was a second-class passenger based on titanic survival data.
Let's assume we know that 1% of adult over the age of 60 have lung cancer, that 90% of adult who have lung cancer will test positive (called the true positive) and that 8% of adult that do NOT have lung cancer will also test positive (called a false positive). What is the probability of actually having lung cancer if an adult test positive for lung cancer having cancer if you have a positive test?
If P (A and B) = 0, A and B are mutually exclusive. Otherwise, A and B can occur jointly
P(A) = 0.300
P(B) = 0.370
P (A and B) = 0.140
P(C) = 0.200
Compute the probability of event A or B and enter your answer with 3 decimal places
If you toss a die twice. What is the probability that the total is none of (4,6,9)?
Suppose a sample space has things a, b, and c. Twice, draw from the sample space and replace. The possible sequences formed are (aa, ab, ac, ba, bb, bc, ca, cb, cc)
Now suppose there are Y different things. There are Y ways the first draw can occur. For each of the Y ways the first draw can occur, there are Y ways the second draw can occur, resulting in Y times Y, or Y2 sequences. For each of the Y2 sequences formed from 2 draws, there are Y ways the 3rd draw can occur forming y3 sequences. Generalizing, there are yX sequences formed by drawing X times from Y different things with replacement.
Example: the number of state license plates that can be made with 3 letters followed by 3 numbers is 26x26x26x10x10x10 = 26 3 x 10 3 = 17,576,000. From this one style of plate, there are many sequences.
How many sequences of 4 things can be formed from 8 different things with replacement and order is important?
