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A prisoner is considering his chances of escape. From his cell, there are 3 possible exits he could choose and if he chooses a particular exit, the probability he will escape is 0.4; 0.3 and 0.4 respectively. If the prisoner picks an exit at random, what is the probability that the prisoner will make a successful escape (to 3 decimal places)?


An American Society of Investors survey found 30% of individual investors have used a discount broker. In a random sample of nine individuals, what is the probability:

a. Exactly two of the sampled individuals have used a discount broker?

b. Exactly four of them have used a discount broker?

c. None of them has used a discount broker? 


The mean height of a random sample of 133 people is 155 cm and a standard deviation of 15 cm. The proportion of persons taller than 200 cm


Create three arrays of type double. Do a compile-time initialization and place different values in two of the arrays. Write a program to store the product of the two arrays in the third array. Produce a display using the Message Box class that shows the contents of all three arrays using a single line for an element from all three arrays. For an added challenge, design your solution so that the two original arrays have a different number of elements. Use 1 as the multiplier when you produce the third array.


If 5 pieces of certain ribbon selected at random have mean breaking strength

of 169.5 pounds with standard deviation 5.7, do they confirm to the

specification mean breaking strength of 180 pounds.

Use t଴.଴ଵ = 3.747 with 4 d.o.f.


Given an array A of N integers and two integers X and Y, find the number of integers in the array that are both less than or equal to X and divisible by Y.


For the first two lines of Balmer series, identify the values of n1 and n2.

Calculate the molarity of a KF (aq) solution containing 116.2 g of KF in 3.00 L of solution? [1] 0.02585 M

[2] 0.667 M

[3] 38.7 M

[4] 58.1 M

[5] None of the above


What is the molarity of glacial acetic acid (CH3COOH, Mr = 60.05 g/mol) at 25°C given that the density of acetic acid at that temperature is 1.049 g/mL?

[1] 0.0174 M

[2] 0.057 M [3] 57.2 M

[4] 60.1 M

[5] None of the above


25.00 cm3 of a 0.7892 mol.dm-3 solution of potassium hydroxide is transferred to an empty 350.00 cm3 volumetric flask. This flask is made up to the mark with distilled water and then shaken well. The concentration of the potassium hydroxide in this second flask is:

[1] 0.01109 mol.dm-3

[2] 0.05637 mol.dm-3

[3] 0.7892 mol.dm-3

[4] 17.74 mol.dm-3

[5] None of the above.


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