alleryStart learning →Find mean of {2, 4, 6, 8, 10}:
- 5
- 6
- 7
- 8
Show answer and solution
Correct answer: B. 6
Sum = 30, n = 5. Mean = 30/5 = 6.
HPCET Probability — practice questions — page 2
Explore 80 free Probability questions in HPCET Mathematics. Open each question or exercise to read its content, reference answers and available explanation.
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Showing questions 31–60 of 80.
Find mean of {2, 4, 6, 8, 10}:Read the answer and worked solution →Mode of {1, 2, 2, 3, 4, 4, 4, 5}:Read the answer and worked solution →Variance of {2, 4, 6, 8, 10}:Read the answer and worked solution →Standard deviation of {2, 4, 6, 8, 10}:Read the answer and worked solution →P(at least one head in 2 fair coin tosses):Read the answer and worked solution →Probability of drawing a heart from a standard 52-card deck:Read the answer and worked solution →P(drawing an Ace OR King from a deck) =Read the answer and worked solution →Two dice rolled. P(sum = 7) =Read the answer and worked solution →Bayes' theorem relates P(A|B) and P(B|A):Read the answer and worked solution →Number of ways to arrange 5 distinct books on a shelf:Read the answer and worked solution →Number of ways to choose 3 students from a class of 10:Read the answer and worked solution →A box has 5 red, 3 blue marbles. Probability of drawing 2 red and 1 blue in any order (without replacement, 3 draws):Read the answer and worked solution →For a Poisson distribution with mean λ = 3, P(X = 2):Read the answer and worked solution →Standard deviation has the same units as:Read the answer and worked solution →For 50 students with mean score 60 and variance 25, the coefficient of variation (sigma/mean × 100%):Read the answer and worked solution →P(picking a king OR a heart from 52 cards):Read the answer and worked solution →Two events A and B: P(A) = 0.3, P(B) = 0.4, P(A and B) = 0.1. Are they independent?Read the answer and worked solution →5 cards drawn from a standard deck. Probability all 5 are aces:Read the answer and worked solution →Number of distinguishable arrangements of letters in 'STATISTICS':Read the answer and worked solution →Conditional probability P(A | B) is defined as:Read the answer and worked solution →In a survey, 60% read newspaper A, 40% read B, 20% read both. P(reading neither):Read the answer and worked solution →Binomial distribution: P(X = k) for n trials, success probability p:Read the answer and worked solution →E(X) and Var(X) for fair coin tossed n times (success = heads, p = 0.5):Read the answer and worked solution →Two cards drawn from a deck (no replacement). P(both kings):Read the answer and worked solution →Complete the definition of conditional probabilityRead the answer and worked solution →True or false: conditional probabilityRead the answer and worked solution →Independent or mutually exclusive?Read the answer and worked solution →Match each rule to its nameRead the answer and worked solution →IndependenceRead the answer and worked solution →Order the steps for a Bayes' theorem questionRead the answer and worked solution →
Worked practice questions
Mode of {1, 2, 2, 3, 4, 4, 4, 5}:
- 2
- 3
- 4
- 5
Show answer and solution
Correct answer: C. 4
Mode is the most frequent value.
4 appears 3 times, more than any other. Mode = 4.
Variance of {2, 4, 6, 8, 10}:
- 2
- 4
- 8
- 10
Show answer and solution
Correct answer: C. 8
Mean = 6. Deviations: -4, -2, 0, 2, 4. Squared: 16, 4, 0, 4, 16. Sum = 40. Variance = 40/5 = 8.
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