Question

In: Statistics and Probability

When conducting an interview with a group of people in order to enter a television program,...

When conducting an interview with a group of people in order to enter a television program, it is found that 30% of 1500 people do not meet the required requirements. 34 people are interviewed.
a)   What is the probability that less than 24 meet the required requirements?
b)   What is the probability that 14 to 27 do not meet the required requirements?
c)   What is the probability that more than 26 meet the required requirements?
d)   What is the probability that less than 23 or more than 29 do not meet the required requirements?

Expert Solution

Sample size, n = 34

P(not meeting the requirement), p = 0.30

q = 1 - p

For random variable X that denotes the number of people who do not meet the requirement,

Normal approximation to binomial: P(X < A) = P(Z < (A - mean)/standard deviation)

Mean = np

= 34 x 0.30

= 10.2

Standard deviation =

=

= 2.672

a) P(less than 24 meet the requirement) = P(more than 10 do not meet the requirement)

= P(X > 10)

= 1 - P(X < 10.5) (with continuity correction)

= P(Z < (10.5 - 10.2)/2.672)

= P(Z < 0.11)

= 0.5438

b) P(14 to 27 do not meet the requirement) = P(14 X 27)

= P(X < 27.5) - P(X < 13.5)

= P(Z < (27.5 - 10.2)/2.672) - P(Z < (13.5 - 10.2)/2.672)

= P(Z < 6.47) - P(Z < 1.24)

= 1 - 0.8925

= 0.1075

c) P(more than 26 meet the requirement) = P(less than 8 do not meet the requirement)

= P(X < 8)

= P(Z < (8 - 10.2)/2.672)

= P(Z < -0.82)

= 0.2061

d) P(less than 23 or more than 29 do not meet the requirement) = P(X < 23) + P(X > 29)

= P(Z < (22.5 - 10.2)/2.672) + 1 - P(Z < (29 - 10.2)/2.672)

= P(Z < 4.6) + 1 - P(Z < 7.04)

= 1 + 1 - 1

= 1

orchestra answered 1 year ago

As a leader or manager when conducting a job interview the vetting of an individual revolves...

As a leader or manager when conducting a job interview the vetting of an individual revolves around their experience and education. If the candidate can convince that leader or manager that they hold the right balance of experience and education then great they are hired. Should personality also be considered along with experience and education? Why or why not? Please explain fully with detail and examples.

3.1. When conducting an interview for an accident/incident investigation there are important aspects to be considered....

3.1. When conducting an interview for an accident/incident investigation there are important aspects to be considered. Elaborate on these aspects. (10marks )

Explain why culture and ethnic must be considered when conducting an interview. How might you handle...

Explain why culture and ethnic must be considered when conducting an interview. How might you handle a client who is from a different ethnic background from you and believes that you cannot possibly understand what he/she is saying to you? Cite Reference

2. Of all people who enter Rooster’s Coffeehouse, 79% order a beverage, 53% order food, and...

2. Of all people who enter Rooster’s Coffeehouse, 79% order a beverage, 53% order food, and 45% orderboth a beverage and food. (a) You plan to select one customer at random. Explicitly define the two events that could occur. Express each of the three probabilities listed above as the probability in terms of these two events. Note: For each part in the remainder of this question, you must first express each probability in terms of the events you defined in...

Which of the following is false when conducting an analysis of variance? Group of answer choices...

Which of the following is false when conducting an analysis of variance? Group of answer choices The difference between three or more means will be examined The Type I error rate is inflated automatically compared to the t test for independent samples even if you use the same alpha Specific differences between pairs of means are not known when a significant result is found Two estimates of the population variance are compared

Using Python Write a program that does the following in order: 1. Asks the user to enter...

Using Python Write a program that does the following in order: 1. Asks the user to enter a name 2. Asks the user to enter a number “gross income” 3. Asks the user to enter a number “state tax rate” 4. Calculates the “Federal Tax”, “FICA tax” and “State tax” 5. Calculates the “estimated tax” and round the value to 2 decimal places 6. Prints values for “name”, “gross income” and “estimated tax” The program should contain three additional variables to store the Federal tax, FICA...

Using Python write a program that does the following in order: 1. Ask user to enter...

Using Python write a program that does the following in order: 1. Ask user to enter a name 2. Ask the user to enter five numbers “amount1”, “amount2”, “amount3”, “amount4”, “amount5” 3. Calculate the sum of the numbers “amount1”, “amount2”, “amount3”, “amount4”, “amount5” 4. If the sum is greater than 0, print out the sum 5. If the sum is equal to zero, print out “Your account balance is zero” 6. If the sum is less than 0, print out...

Order the following steps (1-7) that a researcher uses when conducting hypothesis testing. -...

Order the following steps (1-7) that a researcher uses when conducting hypothesis testing. - 1. 2. 3. 4. 5. 6. 7. Establish a level of significance. - 1. 2. 3. 4. 5. 6. 7. Identify the null and alternative hypothesis. ...

Create a program that when run, prompts the user to enter a city name, a date,...

Create a program that when run, prompts the user to enter a city name, a date, the minimum temperature and the maximum temperature. Calculate the difference between the maximum temperature and the minimum temperature. Calculate the average temperature based on the minimum and maximum temperature. Print out the following: City name today's Date minimum temperature maximum temperature average temperature difference between minimum and maximum The following is a sample run, user input is shown in bold underline. Enter City Name:...

When I run this C++ program that asks the user to enter the population of 4...

When I run this C++ program that asks the user to enter the population of 4 cities and produce the bar graph - it runs but ends with a Debug Error - run time check failure 2 stack around variable population was corrupted - any help would be appreciated #include <iostream> using namespace std; int main() { int population[4],k; int i=1,n=5; do { cout<<"Enter the population of city "<<i<<":"<<endl; cin>>population[i]; if(population[i]<0) ...