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Find the derivative of the function f(x)=√x with respect to x at x0.
Find the rate of change of the function f(x)= x^3 with respect to x at x0.
Find The following percentiles using this data: 40,45,50,50,56,60,65,80,90
1. 75th percentile
a. 65
b. 56
c. 50
d. 90
2. 95th percentile
a. 65
b. 56
c. 80
d. 90
2. Given z1 = 2∠45o
, ; z2 = 3∠120o and z3 = 4∠180o
. Determine the following and leave your
answers in rectangular form:
(i)
(z1)2 +z2
z2 +z3
(5)
(ii)
z1
z2z3
1. Write
(2−i) (4−3i)2
3+2i
(4)
in the form a+bi, where a,b ∈ R.
A coin is tossed C times what is the probability of getting exactly B heads
A shop assistant makes 3 entry errors per week. Find the Probability that in a week chosen at random she will make:
(i) Exactly 2 errors [2 marks]
(ii) At least 2 errors [3 marks]
(b) What is the probability that over a period of two weeks, the shop assistant in part (b) above will commit at least 3 errors?
in a recent survey the average amount of money students have their wallet is 200 with standard deviation of 45. A teacher feels that the average amount is lower . She surveyed 80 randomly selected students and found that the average amount is 35
1 The principal of the school claims that the main age of the teachers is 45 years. The mean age of the randomly selected 35 teachers is 42 years, which is not equal to what is claimed by the principal.
In the class of Statistics, there are 75 students in total out of which 55 male, 20 female students. 10 students need to be selected for the occasion of freshers' reception.
a. What is the probability that 4 of the selected students would be girls?
b. Find out the mean and standard deviation of the binomial distribution.
