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Write a C++ program to count number of digits in a number n which will be input by the user.
A. Areas under the Normal Curve: Find the area of the following. Then, illustrate using the
normal curve.
1. ๐ง = 0.34
2. ๐ง = 2.12
3. ๐ง = โ1.35
4. ๐ง = โ0.27
5. ๐ง = 1.07
6. At least ๐ง = โ0.47
7. Between ๐ง = 0.76 ๐๐๐ ๐ง=2.34
8. Greater than ๐ง = 0.78
9. Less than ๐ง = โ0.67
10. Between ๐ง =โ1.52 ๐๐๐ ๐ง=0.97
Write a C++ program to print all odd number between 1-100
Apply the Normal Curve concepts to solve each of the following. Show your complete solution
and illustration.
2. Most graduate schools of business require applicants for admission to take the Graduate
Management Admission Councilโs GMAT examination. Scores on the GMAT are roughly
normally distributed with a mean of 506 and a standard deviation of 96.
a. What is the probability of an individual scoring above 520? (with illustration)
b. What is the probability of an individual scoring below 506? (with illustration)
c. What is the probability of an individual scoring from 387 to 712? (with illustration)
3. Given ๐=45, and ๐=5.5.
a. What is the raw score when ๐ง=โ1.57?
b. What is the raw score when ๐ง=2.09?
c. What is the raw score when โ0.48<๐ง <1.4?
d. What is the raw score when โ2.17<๐ง <1.79?
e. What is the raw score when ๐ง=0.09?
I. Apply the Normal Curve concepts to solve each of the following. Show your complete solution
and illustration.
Suppose the current annual salary of all teachers in the Philippines have a normal distribution with a mean of 95,000 pesos and a standard deviation of 20,000 pesos.
a. Find the probability that the annual salary of a randomly selected teacher would be between 56,000 and 76,000.(with illustration)
b.Find the probability that the annual salary of a randomly selected teacher would be at least 50,000 pesos. (with illustration)
c. Find the probability that the annual salary of a randomly selected teacher would be 126,000 pesos. (with illustration)
DIRECTIONS: Solve for the z-computed value of the following. Write your answer to the
nearest hundredths. Show the complete solution.
1. xฬ = 9.2 ฮผ = 10 ฯ =3 n = 68
2. xฬ = 28.3 ฮผ = 26 ฯ = 4.5 n = 80
3. xฬ = 72.2 ฮผ = 75 ฯ = 5.8 n = 118
4. xฬ = 49.6 ฮผ = 52 ฯ = 7 n = 160
5. xฬ = 92 ฮผ = 100 ฯ = 12 n = 130
Replacement times of TV sets are reported to follow a normal distribution having a mean
of 8.5 years with standard deviation of 1.2 years.
a. If 30 TV sets are selected at random, what is the probability that the mean
replacement time is less than 8 years?
b. If 20 TV sets are selected, what is the probability that the mean replacement
time is longer than 7.8 years?
c. If 25 TV sets are randomly selected, what is the probability that the
replacement time is between 8.4 years and 9 years?
The mean NAT scores of Grade 10 students is 65. Sixty (60) students were chosen and
found that the standard deviation of their scores is 5. What is the probability that their
mean is between 64 and 67?
A particle travels at 1.90ร108ย m/sย andย livesย 2.10ร10โ8ย sย when at rest relative to an observer. How long does the particle live as viewed in the laboratory?
c = 3.0ร108
If astronauts could travel at v=0.950 c, we on Earth would say it takes 4.42 years to reach Alpha Centauri. The astronauts disagree.
ย How much time passes on the astronauts' clocks?
c = 3ร108
#340153 on Dec 2023