English
Hindi

Question

Download Solution PDF

Eight coins are tossed 25,600 times. The average number of eight heads is

This question was previously asked in
BPSC Lecturer ME Held on July 2016 (Advt. 35/2014)
Download PDF Attempt in App
View all BPSC Lecturer Papers >
  1. 1000
  2. 200
  3. 300
  4. 100

Answer (Detailed Solution Below)

Option 4 : 100

Detailed Solution

Download Solution PDF

Concept:

Binomial Distribution

If p is the probability that an event will happen to say in a single trial (called the probability of success), then q = 1 – p, is the probability that event will fail to happen (called probability of failure). If random variable X represents the number of success that occurs in trials. Then according to Binomial theorem.

, r = 0, 1, 2, 3……………..

Mean = n × p, Variance = n × p × q

Calculation:

Given: 

Total number of times coins are tossed, N = 25600

Number of coins, n = 8

Probability of getting 8 heads when 8 coins are tossed,

Expected frequency or average number of eight head = N × P (X = 8) =

Download Solution PDF
Latest BPSC Lecturer Updates

Last updated on May 9, 2025

-> The BPSC Lecturere DV will be held on 28th May 2025.

-> The written exam took place on 20th March 2025.

-> BPSC Lecturer notification was released for 6 vacancies.

-> The BPSC recruits eligible candidates for the post of Lecturer for various disciplines in Government Colleges across the state.

-> Candidates must attempt the BPSC Lecturer EC Mock Tests. Candidates can also download and practice from the BPSC Lecturer previous year papers. 

Exams Tests Super Practice

More Discrete Distributions Questions

Q1.The value of a and b so that the following is probability mass function X: 0 1 2 P(X = x): 3a 3b 4b with mean 1.1, is:
Q2.For a Poisson variate X, P(X = 1) = P(X = 2). The variance of X is:
Q3.A workshop has several machines. During a typical month, two machines will break down. The probability of more than two machines will break down in a month is
Q4.Let a random variable X follow Poisson distribution such that Prob(X = 1) = Prob(X = 2). The value of Prob(X = 3) is __________ (round off to 2 decimal places).
Q5.Consider two identically distributed zero-mean random variable U and V. Let the cumulative distribution function of U and 2V be F(x) and G(x) respectively. Then, for all values of x. 
Q6.Suppose that a book of 600 pages contains 40 printing mistakes. Assume that these errors are randomly distributed throughout the book and x, the number of errors per page has a Poisson distribution. What is the probability that 10 pages selected at random will be free of errors?
Q7.If X is a Poisson random variable with mean 3, then P(|X-3| < 1) will be:
Q8.If X is a Poisson random variate with mean 3, then P(|X- 3| < 1) will be:
Q9.Let x ∼ N(μ, σ2) If μ2 = σ2, (μ > 0), then the value of P(X < -μ | X < μ) in terms of cumulative function N (0, 1) is:
Q10.Consider a random variable X that takes values +1 and −1 with probability 0.5 each. The values of the cumulative distribution function F(x) at x = −1 and +1 are

More Probability Questions

Q1.A boy has 5 red balls, 3 white balls, and 2 yellow balls. What percent of balls are yellow?
Q2.In a batch Of 100 resistors Of 1kiloohm resistance, 80 numbers are within the required tolerance values and 11 numbers are below the required tolerance values, the remaining are above the required tolerance values. If two resistors are drawn one after the other without replacement, the probability of the first one drawn is below and the second one drawn is above the required tolerance value is 
Q3.There are three boxes. First box has 2 white, 3 black and 4 red balls. Second box has 3 white, 2 black and 2 red balls. Third box has 4 white, 1 black and 3 red balls. A box is chosen at random and 2 balls are drawn out of which 1 is white, and 1 is red. What is the probability that the balls came from first box?
Q4.If A, B, C are three mutually exclusive and exhaustive events such that if P(B) = \(\frac{3}{2}\)P(A) and P(C) = \(\frac{1}{2}\)P(B), then P(A) = _______
Q5.A bag contains six red balls and four blue balls. If three balls are drawn in succession without replacement, the probability that the second and third balls drawn are red is ________ (round off to two decimal places)
Q6.The value of a and b so that the following is probability mass function X: 0 1 2 P(X = x): 3a 3b 4b with mean 1.1, is:
Q7.Two data set of sizes 9 and 6 have standard deviation 3 and 4 respectively and arithmetic means 3 respectively. The standard deviation of combined data set of size 15 is
Q8.Probability that a leap year selected at random containing 53 Sundays, is equal to
Q9.If two events A and B such that P(A ∪ B) = \(\frac{7}{8}\) and P(A ∩ B) = \(\frac{1}{4}\) and P(A) = \(\frac{5}{8}\), then P\((\overline{A} ∪ \overline{B})\) = ?
Q10.If the life of mobile batteries is exponentially disturbed with parameter \(\lambda\) = 0.002 days, the probability that a battery will last more than 1500 days is:
Suggested Test Series
View All >
71st BPSC CCE (Preliminary) Test Series 2025
222 Total Tests with 1 Free Tests
Start Free Test
BPSC ASO Mock Test Series 2025
108 Total Tests with   4 Free Tests
Start Free Test

AAI JE Technical Important Links

Eligibility CriteriaAdmit CardSyllabus and Exam PatternAnswer KeyCut OffResult

More Engineering Mathematics Questions

Q1.If L = {1, 2, 3, 4, 6, 9, 36} is the lattice find the number of complements 9 is having in the below given Hasse diagram?
Q2.Which of the following statements is/are TRUE for undirected graphs?
Q3.\(\iint \frac{x y}{\sqrt{1-y^{2}}} d x d y\) Over the positive quadrant of the circle x2 + y2 = 1 is __________.
Q4.The real root of the equation x3 − x − 5 = 0 lying between 1 and 2 after first iteration by Newton-Raphson method is ________, if initial approximation is taken as x0 = 2 ∈ [1, 2] : 
Q5.Let X be uniform random variable on [0, 4] and Y be uniform random variable on [0, 1]. If X and Y are independent, then P(max {X, Y} > 3) is equal to : 
Q6.If R and D are the radius and diameter of the graph K4,7, then the ordered pair (R, D) is equal to : 
Q7.The largest number of faces in a simple connected maximal planar graph with 100 vertices is :
Q8.If for the matrix A, A3 = I then A−1 = __________. 
Q9.Energy of power signal is : 
Q10.With usual notations, the properties of maxima and minima under various conditions are __________. I II (P) Maxima (i) r t− s2 = 0 (Q) Minima (ii) rt − s2 < 0 (R) Saddle Point (iii) rt − s2 > 0, r > 0 (S)  Case of failure (iv) rt − s2 > 0, r < 0
Testbook Edu Solutions Pvt. Ltd.
1st & 2nd Floor, Zion Building,
Plot No. 273, Sector 10, Kharghar,
Navi Mumbai - 410210
support@testbook.com
Toll Free:1800 833 0800
Office Hours: 10 AM to 7 PM (all 7 days)
Company
About usCareers We are hiringTeach Online on TestbookPartnersMediaSitemap
Products
Test SeriesTestbook PassOnline CoursesOnline VideosPracticeBlogRefer & EarnBooks
Copyright © 2014-2022 Testbook Edu Solutions Pvt. Ltd.: All rights reserved
User PolicyTermsPrivacy
Hot Links： teen patti circle mpl teen patti teen patti download apk