The height of a female university student is normally distributed with mean 1.74m and standard deviation 12.3cm.

Question:

The height of a female university student is normally distributed with mean 1.74m and standard deviation 12.3cm. Find the probability that:

a. A randomly selected female student is between 1.71 and 1.80 metres tall

b. 3 randomly selected female students are all between 1.71 and 1.80 m tall

c. Exactly 15 out of 50 randomly selected female students are between 1.71 and 1.80 metres tall.

Fantastic news! We've Found the answer you've been seeking!

Step by Step Answer:

Related Book For book-img-for-question

Cambridge International AS & A Level Mathematics Probability & Statistics 1 Coursebook

ISBN: 9781108407304

1st Edition

Authors: Dean Chalmers, Julian Gilbey

See More Books

Question Posted: Sep 14, 2021 02:11 AM

See More Questions

A random variable is normally distributed with mean = $1500 and standard deviation = $100. Determine the standard error of the sampling distribution of the mean for simple random samples with the...
The daily demand for TVs at TVWorld is normally distributed with mean 400 and standard deviation100. Each time an order for TVs is placed. It takes exactly 4 days to arrive, i.e. TV orders have a...
Find the probability that of 25 randomly selected people, a. No 2 share the same birthday. b. At least 2 share the same birthday.
A process has an in-control fraction nonconforming of p = 0.01. The sample size is n = 300. What is the probability of detecting a shift to an out-of-control fraction nonconforming of p = 0.05 on the...
Identify what is being oxidized and reduced in this redox equation by assigning oxidation numbers to the atoms. C7H16 + 11O2 ( 7CO2 + 8H2O
Rinehart Corporation purchased from its stockholders 5,000 shares of its own previously issued stock for $255,000. It later resold 2,000 shares for $54 per share, then 2,000 more shares for $49 per...
Taking a sip of coffee one day, you start thinking about the effort it takes to do so. Your forearm is a type of lever. As shown in Figure P9.79, the biceps muscle is attached to the forearm bone...
Bill Williams has the opportunity to invest in project A that costs $9,000 today and promises to pay annual end-of-year payments of $2,200, $2,500, $2,500, $2,000, and $1,800 over the next 5 years....
QUESTION THREE (a) (b) Joseph intends to start a small business specializing in software development to cater for the youth; however a business consultant has advised him to be extra careful before...
The unadjusted trial balance of Lakota Freight Co. at March 31, 2018, the end of the year, follows: The data needed to determine year-end adjustments are as follows: (A) Supplies on hand at March 31...
An ordinary fair die is rolled 450 times. Given that a 6 is rolled on fewer than 80 occasions, find approximately the probability that a 6 is rolled on at least 70 occasions.
A law firm has found that their assistants make, on average, one error on every 36 pages that they type. A random sample of 90 typed documents, with a mean of 62 pages per document, is selected....
What is the current status of Rey. Rul. 57-82?
AZX company intends to deposit RM30,000 per year in a fixed deposit account for the next 10 years, and the fixed deposits pays an annual interest rate of 8%. He has three options to choose on the...
Evaluate the relationship between workforce demographics and sociocultural intelligence.
"In March 2020, the UK government introduced a Coronavirus Job Retention Scheme. Businesses that had to close or cut back could put staff on furlough and the scheme would allow employers to claim 80%...
4. Some Euro coins are made from an alloy called Nordic gold, which is 89% copper, 5% aluminum, 5% zinc, and 1% tin. Information on three of these Euro coins is shown in the table below (the symbol...
a. Active Auto Inc. manufactures electronic components in the Vietnam. Active Auto Inc. sells 300 of Z-model electronic devices to a company in Malaysia. The total price for these devices is...
Rank the following compounds in order of decreasing acid strength: CH2OH COOH
Refer to the table to answer the following questions. Year Nominal GDP (in billions) Total Federal Spending (in billions) Real GDP (in billions) Real Federal Spending (in billions) 2000 9,817 578...
Identify the critical t values for each of the following tests: a. A single-sample t test examining scores for 26 participants to see if there is any difference compared to the population, using a p...
What is Pr(Z < 0.5)? Cardiovascular Disease Because serum cholesterol is related to age and sex, some investigators prefer to express it in terms of z-scores. If X = raw serum cholesterol, then Z = X...
What is Pr(Z > 0.5)? Cardiovascular Disease Because serum cholesterol is related to age and sex, some investigators prefer to express it in terms of z-scores. If X = raw serum cholesterol, then Z = X...
K(TS+1) If the below Bode plot represents the magnitude of the open-loop transfer function, GH(s)= 33 dB, and T2>13 then: s" (728+1)(+1) Magnitude (dB) A+20 A+10 A A-10 A-20 102 K = 44.668 T 0 n = 1...
a) What are the three basic factors required to produce fatigue failure. [3 marks] b) Describe, with the use of the diagrams, the typical cyclic waveforms for R = -1, R = 0 and R = 0.8 and label the...
It is required to perform a structural strength test for the wings of a new Unmanned Aircraft System (HA). Flight engineering department calculated the forces acting on wings as shown in below table....

The height of a female university student is normally distributed with mean 1.74m and standard deviation 12.3cm.

Question:

Step by Step Answer:

Answer a P PHeight 17167 00303 b P PHeight 17167 00117 00305 c Pheight 17...View the full answer

Cambridge International AS & A Level Mathematics Probability & Statistics 1 Coursebook

Students also viewed these Mathematics questions