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2nd Year Statistics Chapter 1 Test2nd Year · Statistics · Punjab (PTB)
Q1. Multiple choice questions (Attempt all · 10 × 1 = 10)
In a normal distribution
, Q1 is equal to:
In a standard normal distribution, Q1 is equal to:
In normal distribution mean, median and mode are:
In a normal distribution, the value of
are respectively:
The number of parameters of normal distribution is:
In a normal distribution
of the area lies between the limits.
The two points containing the middle 68.27% area under a normal curve are:
The symmetry of the normal distribution about its mean indicates that:
The maximum ordinate of normal distribution at x=u is:
In a normal distribution
, what perecentage of the area is contained with the limits
?
Q2. Short questions (Attempt any 6 of 8 · 6 × 2 = 12)
The grade-point averages of 300 college freshmen follow approximately a normal distribution with a mean of 2.1 and a standard deviation of 0.8. How many of these freshmen would you expect to have a score between 2.5 and 3.5 inclusive if the point averages are computed to the nearest tenth?
If the random variable Z has the standard normal distribution, find. (i) P(Z>1.96)
If
find. (i) P(|Z| < 3)
If
find. (i) P(|Z| < 1)
If
, find a if: (i) P(Z > a) = 0.025
In a normal distribution
and P(25 < X < 55)=0.8662. Find P(20 < X < 60).
Find the probability that 200 tosses of a fair coin will result in (i) between 80 and 120 heads inclusive. (ii) less than 90 heads; and (iii) exactly 100 heads (iv) more than 124 heads.
In a normal distribution,
. Find (i) the area above 314 (ii) the two values that contain the middle 75% area (iii) Q1 and Q3.
Q3. Long questions (Attempt any 2 of 3 · 2 × 4 = 8)
Find the value of X which corresponds to a standardized value of -2.05 and 0.86 for the following distribution. (i)
The continuous random variable X is normally distributed with mean
and standard deviation
. Given that P(X < 53)=0.04 and P(X <65) =0.97. Find the inter quartile range of the distribution.
In a standard normal distribution, find: (i) a point that has 97.5% area above it, i.e., z 0.025.