Statistics and Probability Answers

(3.3.21) Use the following cell phone airport data speeds​ (Mbps) from a particular network. Find P20
0.1
0.1
0.2
0.2
0.3
0.5
0.5
0.5
0.6
0.6
0.6
0.7
0.7
0.9
0.9
1.1
1.2
1.2
1.6
1.9
2.2
2.3
2.4
2.7
2.7
3.3
3.5
3.6
3.7
4.5
5.4
5.7
5.8
6.4
7.6
10.1
10.8
11.3
11.5
11.8
11.8
12.5
13.2
13.5
13.8
14.1
14.3
15.1
15.5
29.9
P20=? Mbps

(3.3.19) Use the following cell phone airport data speeds​ (Mbps) from a particular network. Find the percentile corresponding to the data speed 0.8 Mbps
0.1
0.1
0.3
0.3
0.5
0.6
0.6
0.6
0.7
0.7
0.8
0.8
0.8
0.9
0.9
1.3
1.4
1.5
1.6
1.8
2.1
2.2
2.2
2.7
2.8
2.9
3.4
3.5
4.7
4.8
5.8
6.4
6.7
8.4
9.8
10.8
11.1
11.8
11.9
12.4
12.5
12.6
12.9
13.3
13.4
13.8
13.8
14.8
15.1
27.4
Percentile of 0.8=

(a) The life (in hours) of a 100 watt bulb is known to be normally distributed with standard deviation of 36 hours. A random sample of 15 bulbs yielded the following results:Life in hours 2,216 2,237 2,249 2,204 2,225 2,301 2,281 2,263 2,318 2,255 2,275 2,295 2,250 2,295 2,300.Construct a 95% two-sided confidence interval so that the actual mean of the life of bulbs falls within this interval.?

On the basis of the previous record, an average of 4 accidents in one day occur on the superhighway during peak rush timings. Calculate the following if possible. If any part of question (you feel) is not possible to calculate give reason:
a. Evaluate the probability that on any Particular day there will be fewer than 3 accidents on this superhighway during the peak rush timings.
b. Compute the probability that on any Particular day there will be more than 6 accidents on this Super highway during the peak rush timings.
c. Find the Expected number of accidents per day and variance.

Chief Grill” is a local restaurant, its annual data shows that the average sale of chicken steaks is 1200 serving per month with a standard deviation of 102. If the data is normally distributed; calculate the probability of sale of chicken steaks in the next month will be:
a. less than 1000 servings

b. more than 1400 servings

c. between 1100 to 1300 serving

d. less than 1000 but not less than 1350

Brian asked a group of people their favourite holiday destination.
The results are summarised in the table.

Destination UK Europe USA Africa Other
Frequency 84 144 108 24 120
Angle

Work out the size of each angle to draw a pie chart.

the average number of articles produced by two machines per day are 200 and 250 with standard deviation of 20 and 25 respectively on the basis of 25 days production. Can you regard both the machines equally efficient at 1% level of significance?Also construct 99% confidence limit

Out of 60 applicants 40 are from south if 20 applicants are selected as random find probability that not more than 2 are from south

If r 12 =0.86; r 13 = 0.66; and r 23 = 0.72 show
that r 12.3 = 0.744