Option 1
Option 2
Option 3
Option 4
Option 5
100
Is the following random variable discrete or continuous? Explain why.
The temperature of the water in the Arabian Gulf
Continuous, it is measurable.
100
The probability of success in a given binomial distribution is 0.37. What is the probability of failure?
1-0.37=0.63
100
What is the area under the curve of all normal distributions?
1
100
Tech Free
Solve
e^(4x)-7e^(2x)+12=0
100
Sketch the graph of y = 3 ln (2x)
Teacher to check
200
Determine the probability distribution's missing probability value.
0.185
200
It is known that 45% of college students are happy that they took a statistics class in high school. If you randomly selected 300 college students, what is the probability that exactly 125 of them are happy that they took a statistics class in high school? Round to three decimal places.
binompdf(300, 0.45, 125)= 0.024
200
Triang ABC has AB=AC=10cm and angle BAC = 150. Find the area of triangle ABC
25 cm2
200
Name the 4 Beatles. First and Last names
P(-1.739<x<0.652)=normalcdf(-1.739, 0.652, 0, 1)=0.712
200
Solve for x
3 or 2
300
Find an expression for y in terms of x. Given when y=2 and x = 0 and 
y=-cos(x)+3
300
The following probability distribution shows the number of households with 2 or more TVs in their house.
p=0.54 and n=7.
If 7 households are chosen at random, what is the probability that at least 4 of them have 2 or more TVs?
0.587
300
A coin is tossed 100 tines, and 53 heads observed.
a) Give a point estimate for p, the probability of a head when the coin is tossed.
b) Determine the confidence interval for 94%
(0.4361, 0.6239)
300
The random variable X has the following probability distribution.
If the mean of X is 1.6 then determine the values of a and b
a = 0 and b = 0.4
300
The grades on a recent test are normally distributed with a mean of 75.9 and a standard deviaiton of 8.6.
Find the test grade that corresponds to a z-score of z=2.5
2.5=(x-75.9)/8.6
x=97.4
400
A random variable x has a probability density function f with the rule:
Find the expected value.
0.5
400
Solve the equation
(-2pi)/15, (2pi)/15
400
The random variable X has a normal distribution with a mean of 8 and a standard deviation of 0.25. Determine the probability that X is less than 8.0013, correct to 4 decimal places
0.5021)
400
Who headlines the 2024 SuperBowl Half time show
Usher
400
Find the coordinates of the points of inflection on the graph of
f(x)=x^2(4-x^2)
(-sqrt6/3, 20/3) (sqrt6/3, 20/3)
500
Who was the first female Prime Minister of Australia, and which year did she take office?
Julia Gillard, 2010
500
The probability of Ms Beeforth wearing her orange jumper on a given day is 33%. Find the mean and standard deviations for the number of days that Ms Beeforth wears an orange shirt during a 5 day school week.
n=5, p=0.33, q=0.67
Mean=np=5*.33=1.65
Standard deviation=SQRT(npq)= 1.051
500
Find the area under a normal distribution to the right of z=2.1 or to the left of z=-2.1.
normalcdf(2.1, 10, 0, 1)=0.018
0.018*2=0.036
500
A yacht starts from a point A and sails on a bearing of 038 for 3000 m. It then alters its course to a bearing of 318 and after sailing for a further 3300 m reaches a point B. Find the bearing of B from A
356
500
A post stands at one corner of a rectangular courtyard. The elevation of the top of the post from the nearest corners are 30 and 45. Find the elevation from the diagonally opposite corner.
26.57