CA Foundation · Quantitative Aptitude · Theoretical Distributions
Heights of students in a Chennai college are normally distributed with mean 165 cm and standard deviation 8 cm. Given P(0 < Z < 0.5) = 0.1915, what is the probability that a randomly chosen student's height is between 165 cm and 169 cm?
The probability is 0.1915. Height 165 is the mean (Z = 0) and 169 gives Z = 4/8 = 0.5, so the required area is directly the table value P(0 < Z < 0.5) = 0.1915.
- A0.3830
- B0.6915
- C0.3085
- D0.1915Correct
Explanation
Z for 169 = (169-165)/8 = 0.5 and for 165 = 0. So the probability is P(0<Z<0.5) = 0.1915. Option 0.3830 doubles it as if the range were symmetric (161 to 169), and 0.6915 is P(Z<0.5).
Did you get it right without looking?
One question tells you little. A timed set on Theoretical Distributions shows your real accuracy, how long you take and where you lose marks.
More Theoretical Distributions questions
- The monthly electricity bills of households in a Jaipur colony are normally distributed with mean Rs 2,000 and standard deviation Rs 400. Gi…
- If X is normally distributed with mean μ and variance σ², which transformation gives a variable that follows the standard normal distributio…
- A shop in Jaipur gets customer complaints at an average of 4 per week, following a Poisson distribution. What is the expected number of comp…
- For a binomial distribution with n = 10 and p = 0.3, what is the mean and variance respectively?
- For a binomial distribution with n = 8 and p = 1/2, which statement about its shape is correct?
- A quality inspector at a Surat factory tests 5 independently made items, each with a 0.4 chance of being defective. What is the probability …