**Practice 5b** Births are approximately uniformly distributed among the 52 weeks of the year. They can be said to follow a uniform distribution from 1 to 53 (spread of 52 weeks). 1. Write the distribution in math symbols. 2. Write the probability density function, i.e., pdf $ f(x) = $ 3. Find the mean. 4. Find the standard deviation. 5. Find the probability of births in the 10 to 21 weeks. 6. Find the probability of births after 40 weeks. 7. Find the probability of births at exactly the end of 26 weeks. 8. Find the 75th percentile.

Practice 5b Births are approximately uniformly distributed among the 52 weeks of the year. They can be said to follow a uniform distribution from 1 to 53 (spread of 52 weeks). 1. Write the distribution in math symbols. 2. Write the probability density function, i.e., pdf $ f(x) = $ 3. Find the mean. 4. Find the standard deviation. 5. Find the probability of births in the 10 to 21 weeks. 6. Find the probability of births after 40 weeks. 7. Find the probability of births at exactly the end of 26 weeks. 8. Find the 75th percentile.

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

See similar textbooks

Related questions

Q: What is the observational study design used in the study Background: Vitamin D deficiency is pre...

A: Given information: Given study has the leading objective of determining the intensity of how the Vit...

Q: Find the standard deviation for the following sample data: x freq. 5 2 6 3 7 8 8 1 9 6 ...

A: x f fx fx2 5 2 10 50 6 3 18 108 7 8 56 392 8 1 8 64 9 6 54 486 10 4 40 400 ∑f=24 ∑fx...

Q: Statistics Question

A: Let the random variable X denote the height of men in the Netherlands and it follows normal distribu...

Q: Find the mean, median, and mode of2.1, 4.6, 8.2, 3.4, 5.6, 8.0, 9.4, 12.2, 56.1, 78.2

Q: The amounts with a mean a produces thes The supportim nicotine amou

A: A z-score represents the position of a data point in terms of its distance from the mean when measur...

Q: Americans spend an average of 23.6 hours per week online, with a standard deviation of 7. The distri...

A: Given, The average online hours is 23.6 and standard deviation 7. A random sample of size 50 .

Q: At a university, 54.3% of incoming first-year students have computers. If 3 students are selected at...

Q: Los Angeles workers have an average commute of 30 minutes. Suppose the LA commute time is normally d...

A: Let X represent the commute time for a randomly selected LA worker. Draw the normal curve and sh...

Q: A population of values has a normal distribution with μ=200.7 and σ=10. You intend to draw a random ...

A: From the provided information, Mean (µ) = 200.7 Standard deviation (σ) = 10 Let X be a random variab...

Q: I need assistance with parts C and D only. Thank you. What is the income distribution of super shop...

A: c. The required calculations for obtaining mean and standard deviation are made in the following tab...

Q: The following table shows free throws. shot by a basicethall player. Explain why the empirical and t...

A: The empirical probability of an event is an "estimate" that an event will occur based upon how often...

Q: Suppose the weight of pieces of passenger luggage for domestic airline flights follows a normal dist...

A: From the given information, the mean is 28 and standard deviation is 5.7.

Q: I need help with B, C, and D ONLY. The quality-control inspector of a production plant will reject ...

A: From the given information, the values of n is 10 and p is 0.05.

Q: spitals related to opiods increased dramatically compared to previous years. The National Institutes...

A: Two events can be considered as disjoint events if both events cannot occur at the same time. Accord...

Q: The null hypothesis for the One-way Anova F-test would be Group of answer choices Ho : The average...

A: Hi, thanks for your question. As per our policy, we'll answer the first three. For the remaining sub...

Q: H0:μ=31.085H0:μ=31.085H1:μ≠31.085H1:μ≠31.085Your sample consists of 23 subjects, with a mean of 30.8...

A: Given: n =23 μ = 31.085 s = 4.43 X=30.8 As the population standard deviation is not known, the t-dis...

Q: as ation of $713. Perform a h lies be sample 1 and urbar vpotheses are: > l2(claim) < µ2(claim)

A: The objective is to test the claim that the average income of rural families is different than that ...

Q: Question 1 The following shows the temperatures (high, low) and weather conditions in a given Sunday...

A: Since you have asked multiple questions with multiple sub-parts, we will solve the first three subpa...

Q: A new phone system was installed last year to help reduce the expense of personal calls that were be...

A: Let's assume X = the amount being spent on personal calls Then as given, X ~ N ( mean = 400, standa...

Q: For the independent-measures t statistic, what is the effect of increasing the difference between sa...

A: Given: For the independent-measures t statistic, what is the effect of increasing the difference b...

Q: In 2015, over 30,000 Americans died from opioid overdoses, and the number of inpatient stays and eme...

A: Concept: Two events are said to be disjoint if both the events cannot occur at the same time. Accord...

Q: a. What percent of people waited more than 15 minutes? b. What percent of people waited less than 20...

A: a) No of people who wait more than 15 minutes is = 13+22+12 = 47 Total number of patients waiting is...

Q: Consider the probability distribution shown below. x 0 1 2 P(x) 0.35 0.20 0.45 Compute the...

A: Given:

Q: You are a teacher at a gifted school, and you feel that the newest class of students is even brighte...

A: From the provided information, Population mean (µ) = 127 Sample size (n) = 32 Sample mean (x̅) = 134...

Q: 474.21.0f pecple pass their driving test. E you're tryungtoget yourlicensé, find probability you pas...

Q: X is distributed as a Normal random variable, with a mean of 100 and a standard deviation of 20. You...

A: Given: Sample size of Xs (n) = 100 Mean of X μ=100 Standard deviation of X σ=20 X~N100,202

Q: 1) A committee must be formed consisting of 12 people. If there are 10 democrats, 15 republicans and...

A: Hello! As you have posted more than 3 sub parts, we are answering the first 3 sub-parts. In case yo...

Q: Q3: A professor grades homework by randomly choosing 6 out of 12 homework problems to grade. (a) How...

Q: Internet sites often vanish or move so that references to them cannot be followed. In fact, 13% of I...

A: Binomial distribution: The binomial distribution gives the probability of number of successes out of...

Q: Find the probability that a random variable having the standard normal distribution will take on a v...

A: The z score follows standard normal distribution with mean 0 and standard deviation 1.

Q: The town of KnowWearSpatial, U.S.A. operates a rubbish waste disposal facility that is overloaded if...

Q: Itemized Charitable Contributions The average charitable contribution itemized per income tax return...

A: Given that middle 80% of the contributions means, Pa≤X≤b=80%This implies that,PX≤a=10%P(X≥b)=10% Giv...

Q: Use the given data values (a sample of female arm circumferences in centimeters) to identify the c...

A: The given data set is: 38.0 44.8 41.0 34.9 32.2

Q: Out of 100 people sampled, 34 preferred Candidate A. Based on this, find a 90% confidence level for ...

A: Given: n=100x=34confidence level=90% = 0.90

Q: complete ) Suppose that in a random selection of 100 colored candies , 25 % of them are blue . The c...

Q: What are the measures of central tendency for this data set

A: For each variable, it is asked to write the measures of central tendency. There are 3 measures of ...

Q: Suppose that you were planting flowers in a garden from an bag that you cannot see inside of. Inside...

A: Given: Number of tulips = 15 Number of roses = 20 Number of violets = 30 Number of lilies = 10 Total...

Q: The time required to assemble a single Play Station 3 is approximately normally distributed with μ=1...

A: From the provided information, Mean (µ) = 15.49 minutes Standard deviation (σ) = 1.9 minutes Let X b...

Q: question Compute P5,2. (Enter an exact number.)

A: Given that, Permutation P5,2

Q: The average American man consumes 9.5 grams of sodium each day. Suppose that the sodium consumption ...

A: Let X = the amount of sodium consumed. Round all numeric answers to 4 decimal places where possible....

Q: A local Doctors Office recorded the wait times for 70 patients on a Saturday afternoon and organized...

A: Introduction: By observing the given histogram where the horizontal axis marks the wait times in int...

Q: The main trial in problem 7 is conducted and involves a total of 200 patients. Patients are enrolled...

A: Given: Let Experimental group be denoted by Group 1 Placebo group be denoted by Group 2 n1=100p^1=0....

Q: In a study of visual acuity, participants view an image under low lighting, moderate lighting, or hi...

A: We have given that- The participants view an image under low lighting, moderate lighting, or high li...

Q: A manufacturer produces a commodity where the length of the commodity has approximately normal distr...

A: Given : mean = μ = 6.3 inches standard deviation = σ = 1.6 inches n = 33 μX¯ = 6.3 σX¯ = σn σX¯ = 1....

Q: Suppose the weight of pieces of passenger luggage for domestic airline flights follows a normal dist...

A: Hey there! Thank you for posting the question. Since your question has more than 3 parts, we are sol...

Q: Suppose that 0.8% of male professional golfers use steroids, and that Max is a male professional gol...

Q: A physical fitness association is including the mile run in its secondary -school fitness test. The ...

A: The random variable X is defined as the time for this event for boys in secondary school which follo...

Question

**Practice 5b**

Births are approximately uniformly distributed among the 52 weeks of the year. They can be said to follow a uniform distribution from 1 to 53 (spread of 52 weeks).

1. Write the distribution in math symbols.
2. Write the probability density function, i.e., pdf $ f(x) = $
3. Find the mean.
4. Find the standard deviation.
5. Find the probability of births in the 10 to 21 weeks.
6. Find the probability of births after 40 weeks.
7. Find the probability of births at exactly the end of 26 weeks.
8. Find the 75th percentile.

Expert Solution

Step 1

Since you have posted a question with multiple-subparts, we will solve first three parts for you. To get remaining sub-part solved please repost the question and mention the sub-parts to be solved.

It's a Uniform distribution with

a = 1 and

b = 53

The distribution can be represented in mathematical terms as follows: