In: Statistics and Probability
Recently, a nurse commented that when a patient calls the
medical advice line claiming to have the flu, the chance that he or
she truly has the flu (and not just a nasty cold) is only about 4%.
Of the next 25 patients calling in claiming to have the flu, we are
interested in how many actually have the flu.
Find the probability that at least five of the 25 patients actually
have the flu. (Round your answer to four decimal places.)
Recently, a nurse commented that when a patient calls the
medical advice line claiming to have the flu, the chance that he or
she truly has the flu (and not just a nasty cold) is only about 4%.
Of the next 25 patients calling in claiming to have the flu, we are
interested in how many actually have the flu.
On average, for every 25 patients calling in, how many do you
expect to have the flu? (Enter your answer as a whole
number.)
Find the probability that at least five of the 25 patients actually have the flu. (Round your answer to four decimal places.)
0.0028
On average, for every 25 patients calling in, how many do you expect to have the flu? (Enter your answer as a whole number.)
1
The output is:
25 | n | |
0.04 | p | |
cumulative | ||
X | P(X) | probability |
0 | 0.36040 | 0.36040 |
1 | 0.37541 | 0.73581 |
2 | 0.18771 | 0.92352 |
3 | 0.05996 | 0.98348 |
4 | 0.01374 | 0.99722 |
5 | 0.00240 | 0.99962 |
6 | 0.00033 | 0.99996 |
7 | 0.00004 | 1.00000 |
8 | 0.00000 | 1.00000 |
9 | 0.00000 | 1.00000 |
10 | 0.00000 | 1.00000 |
11 | 0.00000 | 1.00000 |
12 | 0.00000 | 1.00000 |
13 | 0.00000 | 1.00000 |
14 | 0.00000 | 1.00000 |
15 | 0.00000 | 1.00000 |
16 | 0.00000 | 1.00000 |
17 | 0.00000 | 1.00000 |
18 | 0.00000 | 1.00000 |
19 | 0.00000 | 1.00000 |
20 | 0.00000 | 1.00000 |
21 | 0.00000 | 1.00000 |
22 | 0.00000 | 1.00000 |
23 | 0.00000 | 1.00000 |
24 | 0.00000 | 1.00000 |
25 | 0.00000 | 1.00000 |
1.00000 | ||
1.000 | expected value | |
0.960 | variance | |
0.980 | standard deviation |