NCERT Exemplar Solutions
Class 10 - Mathematics - CHAPTER 13: Statistics and Probability - Exercise 13.1Question 22
Class 10 - Mathematics - CHAPTER 13: Statistics and Probability - Exercise 13.1
Question. 22
The probability of getting a bad egg in a lot of 400 is 0.035. The number of bad eggs in the lot is
(A)
7
(B)
14
(C)
21
(D)
28
Detailed Answer with Explanation:
Step 1: We are told that the probability of getting a bad egg is 0.035. This means, out of 1 egg, on average, 0.035 eggs are expected to be bad.
Step 2: The total number of eggs in the lot is 400.
Step 3: To find the expected number of bad eggs, we multiply the probability by the total number of eggs:
\[ ext{Expected bad eggs} = ext{Probability} imes ext{Total eggs} \]
\[ = 0.035 imes 400 \]
Step 4: Do the multiplication: \(0.035 imes 400 = 14\).
Final Answer: The expected number of bad eggs is 14. So, the correct option is (B).