Finding Cumulative Probability Using Z-TableHence, what is the probability that the astronomer under or overestimates the distance by less than 500 km?Note: You can use the Z-table here.30.85%69.15%38.30%48.25%

Hence, what is the probability that the astronomer under- or over-estimates the distance by less than 500 km?

Based on the information above, how likely is it that the astronomer overestimated the distance by 2,330 km or more?(You can use the Z table here.)Note: Round off the answer to the nearest percentage.1%2%1.5%0.5%

Based on the information above, what is the probability of the astronomer overestimating the distance by 2,330 km or more?

Let’s define X as the astronomical error, which is normally distributed with mean 0 km and standard deviation 1,000 km. Now, you have to find the probability that -500 < X < 500, i.e. P(-500 < X < 500).

Suppose Z follows the standard normal distribution. Use the calculator provided, or this table, to determine the value of c so that the following is true.=P≤−c≤Zc0.9715Carry your intermediate computations to at least four decimal places. Round your answer to two decimal places.