Tag: distribution of measurement
Questions Related to distribution of measurement
$\sum _{r=1}^{11} r.5^{r} =\dfrac{(43\times 5^{a}+5)}{b}$, then $(a+b)$ is
If $A$ and $B$ are two independent events such that $P(A) = \dfrac{1}{2}$ and $P(B) = \dfrac{2}{3}$, then $P((A \cup B) (A\cup \overline{B})(\overline{A} \cup B))$ has the value equal to
Which of the following is not true regarding the normal distribution?
The random variable $x$ follows normal distribution $f(x) = Ce^{\dfrac{-\dfrac{1}{2} (x - 100)^2}{25}}$. Then the value of $C$ is
Which of the following are correct regarding normal distribution curve?
(i) Symmetrical about the line $X=\mu $ (Mean)
(ii) Mean $=$ Median $=$ Mode
(iii) Unimodal
(iv) Points of inflexion are at $X=\mu \pm \sigma $
$X$ is a Normally distributed variable with mean $ = 30$ and standard deviation $ = 4$. Find $P(30 < x<35)$
A large group of students took a test in Physics and the final grades have a mean of $70$ and a standard deviation of $10$. If we can approximate the distribution of these grades by a normal distribution, what percent of the students should fail the test (grades$<60$)?
The length of life of an instrument produced by a machine has a normal distribution with a mean of $12$ months and standard deviation of $2$ months. Find the probability that an instrument produced by this machine will last less than $7$ months.
The scores on standardized admissions test are normally distributed with a mean of $500$ and a standard deviation of $100$. What is the probability that a randomly selected student will score between $400$ and $600$ on the test?
The average length of time required to complete a jury questionnaire is $40$ minutes, with a standard deviation of $5$ minutes. What is the probability that it will take a prospective juror between $35$ and $45$ minutes to complete the questionnaire?