TipsQuestion textBased on the below table, answer the following question:xP(x)30.0540.4050.3060.1570.10What is the standard deviation?Question 4Answera.4.85b.1.06c.0.3

To calculate the standard deviation, we first need to calculate the expected value (mean), then the variance, and finally take the square root of the variance to get the standard deviation.

1. Calculate the expected value (mean): Multiply each value of x by its probability and sum them up. E(x) = Σ [x * P(x)] = (30.05) + (40.40) + (50.30) + (60.15) + (7*0.10) = 0.15 + 1.6 + 1.5 + 0.9 + 0.7 = 4.85

2. Calculate the variance: Subtract the mean from each x, square the result, multiply by the probability, and sum them up. Var(x) = Σ { [x - E(x)]² * P(x) } = { [(3-4.85)² * 0.05] + [(4-4.85)² * 0.40] + [(5-4.85)² * 0.30] + [(6-4.85)² * 0.15] + [(7-4.85)² * 0.10] } = { [3.4225 * 0.05] + [0.7225 * 0.40] + [0.0225 * 0.30] + [1.3225 * 0.15] + [4.6225 * 0.10] } = 0.171125 + 0.289 + 0.00675 + 0.198375 + 0.46225 = 1.1275

3. Calculate the standard deviation: The standard deviation is the square root of the variance. SD = √Var(x) = √1.1275 = 1.06

So, the standard deviation is 1.06 (Option b).