Statistics and Probability Answers

Let D representing the number of defective units when 5 units are chosen at random from a batch of ten flash drives which contains six defective items. Find the value of random variable D.

Use traditional method. Test statistic = 2.321, n1= 35 n2 = 35, α = 0.05, right tail.state whether the null hypothesis should be rejected or not. (Reject H0 / Do not Reject H0). 

1.John measured time on days, with '0' correspond to his birth date. The day before his birth is '-1', the day after his birth date is '+1', and so on. John has converted these dates of major historical events to his numbering system. What is the level of measurement (ratio, interval, ordinal,nominal)of these numbers?and why this measurement applies.

Jamal has waffles for breakfast every Sunday morning. He tops them with blueberry syrup or maple syrup, but sometimes he uses both or neither of the syrups. 

On one Sunday:

Let X be the event ‘Jamal uses blueberry syrup’

Let Y be the event ‘Jamal uses maple syrup’

It is given that

P(X) = 13/30

P(X | Y) = 1/4

P(X | Y ') = 9/14

Find the probability that Jamal uses both blueberry and maple syrup

3. Let T be a random variable giving the number of heads plus the number of tails in three tosses of a coin. List the elements of the sample space S for the three tosses of the coin and assign a value to each sample point.

In how many ways the word SCOOTER be arranged when repetition is not allowed.

How many permutations are there of the letters a, b, c, d, e, f?

The digits 1 to 7 are used to create a four digit code to disarm a bomb. How many different codes are possible if the digits may not be repeated and the code must be an odd number bigger than 5000?

A and B decided to meet between 3 PM, and 4 PM, each of them waits only 10 minutes. what is the probability that they will meet?