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If x represents the number of voys in a family of 7 children, find the probabbility and distribution

Ms Pitts and Mr Oduse are statistics lecturers. Ms Pitts spends 62% of her day in the stats department. Mr Oduse spends 57% of his day in the stats department. Forty-two (42) percent of the time Ms Pitts and Mr Oduse can both be found in the stats department.

Question 15

What is the probability that only one of these lecturers will be in the stats department when you go to have a consultation?

Question 16

What is the probability that neither of the two lecturers will be in the stats department?

Question 17

What is the probability that only Mr Oduse will be in the stats department?


The mechanical power output of a cyclist moving at a constant speed of 5.90 m/s on a level road is 105 W.

 

By bending low over the handlebars, the cyclist reduces the air resistance to 18.0 N. If she maintains a power output of 105 W, what will her speed be?



Suppose A and B are mutually exclusive events defined on the same sample space such that 𝑃(𝐴)=0.37 and 𝑃(𝐵)=𝑐.

Question 11

What is the maximum value of 𝑐?

Question 12

What is 𝑃(𝐴|𝐵)?


In a batch of 15 jars of instant coffee, 5 have been under filled. Suppose 6 of these jars are selected without replacement. If more than 1 of these selected jars are under filled, the whole batch is sent back for refill. What is the probability of the batch being sent back for refill? (Round off to 2 decimal places.)

Two-tailed test, o? is known, a= 0.05, n= 45


What is the value resulting from subtracting the maximum error from the sample mean?

Calculate the mass of solute in a 10% if the mass of solution is 350 grams




A number is called a happy number, if you start with the given number and arrive at 1 by repeating the following process (as illustrated in the below example): (a) compute the sum of the squares of given number digits (b) if the resultant value is 1, then the number is happy number, else execute point (a) for the newly produced number. Note that if a number is not a happy number, there will be an endless loop to this execution. Goal: In this question, you are required to write a recursive function that checks whether the number entered by the user is a happy number or not for 10 cycles/iterations only. The output shown in blue colour should be shown by the function and text in yellow colour should be displayed by the main function.



what is the sample space if roll two dice let X be the random variable


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