A man bought a TV for £300. He had to pay a deposit of 15%. How much did he pay?

1 answer:

5 0

Most of the required information's are already given in the question.
Cost of the Television bought by the man = 300 pounds
Percentage of deposit that was made = 15%
Then
amount of deposit made by the man = (15/100) * 300 pound
= 15 * 3 pounds
= 45 pounds
So the man made a deposit of 45 pounds. I hope the procedure is simple enough for you to understand. You can always use this procedure for doing similar problems in future and you will require no additional help from anybody.

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What is the probability that a randomly selected member of a normally distributed population will lie more than 1.8 standard dev

Helen [10]

Answer:

$P(X> \mu +1.8\sigma)=P(\frac{X-\mu}{\sigma}>\frac{\mu +1.8\sigma-\mu}{\sigma})=P(Z>1.8)$

And we can find this probability using the complement rule:

$P(z>1.8)=1-P(z$

And using the normal standard distirbution table or excel we got:

$P(z>1.8)=1-P(z$

Step-by-step explanation:

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".

Solution to the problem

Let X the random variable that represent the variable if interest of a population, and for this case we know the distribution for X is given by:

$X \sim N(\mu,\sigma)$