# Q1 Explain in detail what is meant by the term “random variable”. AC 1.1/1.2 Q2. A fair coin is…

Q1 Explain in detail what is meant by the term “random variable”. AC 1.1/1.2 Q2. A fair coin is…
Q1 Explain in detail what is meant by the term “random variable”. AC 1.1/1.2 Q2. A fair coin is tossed 6 times and the random variable T represents the number of tails obtained (a) Give two reasons why a binomial model would be a suitable distribution for modelling T. a AC 1.1 (6) Find P(T = 5) AC 1.2 (c) Find the probability of obtaining more tails than heads. AC 1.2 A second coin is biased such that the probability of obtaining a head is This second coin is tossed 6 times. (d) Find the probability that, for the second coin, the number of heads obtained is greater than or equal to the number of tails obtained. AC 1.2 Q3. The heights, F cm, of an adult female population are normally distributed with mean 165 cm and standard deviation 7.4 cm. (a) Give two properties of the normal distribution which make it suitable for modelling this random variable. AC 2.1 (b) Find the probability that a randomly chosen adult female is taller than 152 cm. AC 2.2 Sarah is a young girl. She visits her doctor and is told that she is at the 58th percentile for height. (c) Assuming that Sarah remains at the 58th percentile, estimate her height as an adult. AC 2.2 The heights, Mcm, of an adult male population are normally distributed with standard deviation 9.0 cm. Given that 88% of adult males are taller than the mean height of adult females, (d) find the mean height of an adult male. AC 2.2 Q4. The time taken for a randomly selected person to complete a test is M minutes, where M-N(14,02) Given that 10% of people take less than 12 minutes to complete the test, (a) find the value of a AC 2.2 Graham selects 15 people at random. (b) Find the probability that fewer than 2 of these people will take less than 12 minutes to complete the test. AC 1.2 May 16 2022 05:48 PM

## Calculate the price of your order

550 words
We'll send you the first draft for approval by September 11, 2018 at 10:52 AM
Total price:
\$26
The price is based on these factors:
Number of pages
Urgency
Basic features
• Free title page and bibliography
• Unlimited revisions
• Plagiarism-free guarantee
• Money-back guarantee
On-demand options
• Writer’s samples
• Part-by-part delivery
• Overnight delivery
• Copies of used sources
Paper format
• 275 words per page
• 12 pt Arial/Times New Roman
• Double line spacing
• Any citation style (APA, MLA, Chicago/Turabian, Harvard)

# Our guarantees

Delivering a high-quality product at a reasonable price is not enough anymore.
That’s why we have developed 5 beneficial guarantees that will make your experience with our service enjoyable, easy, and safe.

### Money-back guarantee

You have to be 100% sure of the quality of your product to give a money-back guarantee. This describes us perfectly. Make sure that this guarantee is totally transparent.

### Zero-plagiarism guarantee

Each paper is composed from scratch, according to your instructions. It is then checked by our plagiarism-detection software. There is no gap where plagiarism could squeeze in.

### Free-revision policy

Thanks to our free revisions, there is no way for you to be unsatisfied. We will work on your paper until you are completely happy with the result.