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What is the probability of getting a 2 or a 5 when a dice is rolled?


A network provider investigates the load of its network. The number of concurrent users is recorded at Seventy - seven locations (thousands of people),

55.3 55.3 55.3 55.9 55.9 55.9 55.9 56.1 56.1 56.1 56.1 56.1 56.1 56.8

56.8 57.0 57.0 57.0 57.8 57.8 57.8 57.9 57.9 57.9 58.8 58.8 58.8 59.8

59.8 59.8 62.2 62.2 63.8 63.8 63.8 63.9 63.9 63.9 64.7 64.7 64.7 65.1

65.1 65.1 65.3 65.3 65.3 65.3 67.4 67.4 67.4 67.4 68.7 68.7 68.7 68.7

69.0 70.4 70.4 71.2 71.2 71.2 73.0 73.0 73.1 73.1 74.6 74.6 74.6 74.6

79.3 79.3 79.3 79.3 83.0 83.0 83.0

1) Construct a grouped frequency distribution for the data using five classes. Add the Relative frequency and the Percent frequency tables to the main frequency table. 


Diameters of ball bearings are normally distributed with mean 0.498 cm and standard

deviation 0.002 cm. If specifications require 0.5 +- 0.004 cm, what percentage of

production will be rejected?


+- = plus - minus


Define r.U and Mathematical expectation of a r.U. A discrete r.U. has the following probability distribution.
X : -2 -1 0 1 2 3
P(X) : 0.1 a 0.2 2a 0.3 a
Find i) The value of ‘a’,
ii) its distribution function F(X),
iii) Mean and variance of X.
A continuous r.U.X has the following probability density function
F(X) = 20e to the power -20x ; X>0
= 0 ; 0 otherwise
Find i) Mean of X, ii) P(X < 1000), iii) P(X>3000)
A box contains 2 bags; bag X and bag Y. Bag X contains 2 red and 1 white beads. Bag Y contains 2 red and 2 white beads. A bag is selected at random. 2 beads are selected, one after the other without replacement. Determine the probability that:
A.2 red beads are selected.
B.1 red and 1 white bead are selected.
C.At least 1 red bead.
A bag contains 10 marbles; 4 red and 6 black. A marble is chosen at random, the color noted and then replaced back to the bag. A second marble is then picked from the bag. What is the probability that?
a.Both marbles are red.
b.One of each color.
The life of a 60- watt light bulb in hours is known to be normally distributed with σ = 25
hours. Create 5 different random samples of 100 bulbs each which has a mean life of x_bar ~
1000 hours and perform one-way ANOVA with state it.


In this problem how the value is getting ∑X ij =499712
∑Xij^2 =499691630

please explain this to me sir
If the variance for the performance score of students is 12,5 and the is 32,5; what will the standard deviation be?
1. 406,25
2. 0,39
3. 20
4. 3,54
The mode is that score above and below which 50% of the scores in a sample fall. Is this statement true or false?
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